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Finding the Fourth Proportional to 10,031.52, 15,054.86 and 6,861.39

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Solution

The fourth proportional to 10,031.52, 15,054.86 and 6,861.39 is: 10,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.52 : 15,054.86 = 6,861.39 : x
  2. Step 2: Convert to fraction form
    10,031.52/15,054.86 = 6,861.39/x
  3. Step 3: Cross multiply
    10,031.52x = 15,054.86 × 6,861.39
  4. Step 4: Simplify right side
    10,031.52x = 103,297,265.86
  5. Step 5: Solve for x
    x = 103,297,265.86/10,031.52
  6. Step 6: Final answer
    x = 10,297.27

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