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Finding the Fourth Proportional to 9,612.64, 13,265.04 and 5,421.28

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Solution

The fourth proportional to 9,612.64, 13,265.04 and 5,421.28 is: 7,481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.64 : 13,265.04 = 5,421.28 : x
  2. Step 2: Convert to fraction form
    9,612.64/13,265.04 = 5,421.28/x
  3. Step 3: Cross multiply
    9,612.64x = 13,265.04 × 5,421.28
  4. Step 4: Simplify right side
    9,612.64x = 71,913,496.05
  5. Step 5: Solve for x
    x = 71,913,496.05/9,612.64
  6. Step 6: Final answer
    x = 7,481.14

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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.