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Finding the Fourth Proportional to 7,102.32, 10,653.12 and 6,888.48

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Solution

The fourth proportional to 7,102.32, 10,653.12 and 6,888.48 is: 10,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.32 : 10,653.12 = 6,888.48 : x
  2. Step 2: Convert to fraction form
    7,102.32/10,653.12 = 6,888.48/x
  3. Step 3: Cross multiply
    7,102.32x = 10,653.12 × 6,888.48
  4. Step 4: Simplify right side
    7,102.32x = 73,383,804.06
  5. Step 5: Solve for x
    x = 73,383,804.06/7,102.32
  6. Step 6: Final answer
    x = 10,332.37

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.