Home / 7,972.16-11,007-4,989.20

Finding the Fourth Proportional to 7,972.16, 11,007 and 4,989.20

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Solution

The fourth proportional to 7,972.16, 11,007 and 4,989.20 is: 6,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.16 : 11,007 = 4,989.20 : x
  2. Step 2: Convert to fraction form
    7,972.16/11,007 = 4,989.20/x
  3. Step 3: Cross multiply
    7,972.16x = 11,007 × 4,989.20
  4. Step 4: Simplify right side
    7,972.16x = 54,916,124.40
  5. Step 5: Solve for x
    x = 54,916,124.40/7,972.16
  6. Step 6: Final answer
    x = 6,888.49

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.