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Finding the Fourth Proportional to 10,344.78, 15,489.63 and 7,064.28

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Solution

The fourth proportional to 10,344.78, 15,489.63 and 7,064.28 is: 10,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.78 : 15,489.63 = 7,064.28 : x
  2. Step 2: Convert to fraction form
    10,344.78/15,489.63 = 7,064.28/x
  3. Step 3: Cross multiply
    10,344.78x = 15,489.63 × 7,064.28
  4. Step 4: Simplify right side
    10,344.78x = 109,423,083.42
  5. Step 5: Solve for x
    x = 109,423,083.42/10,344.78
  6. Step 6: Final answer
    x = 10,577.61

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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.