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Finding the Fourth Proportional to 7,138.64, 9,846.24 and 4,344.32

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Solution

The fourth proportional to 7,138.64, 9,846.24 and 4,344.32 is: 5,992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.64 : 9,846.24 = 4,344.32 : x
  2. Step 2: Convert to fraction form
    7,138.64/9,846.24 = 4,344.32/x
  3. Step 3: Cross multiply
    7,138.64x = 9,846.24 × 4,344.32
  4. Step 4: Simplify right side
    7,138.64x = 42,775,217.36
  5. Step 5: Solve for x
    x = 42,775,217.36/7,138.64
  6. Step 6: Final answer
    x = 5,992.07

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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.