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Finding the Fourth Proportional to 8,729.43, 12,041.10 and 5,190

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Solution

The fourth proportional to 8,729.43, 12,041.10 and 5,190 is: 7,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.43 : 12,041.10 = 5,190 : x
  2. Step 2: Convert to fraction form
    8,729.43/12,041.10 = 5,190/x
  3. Step 3: Cross multiply
    8,729.43x = 12,041.10 × 5,190
  4. Step 4: Simplify right side
    8,729.43x = 62,493,309
  5. Step 5: Solve for x
    x = 62,493,309/8,729.43
  6. Step 6: Final answer
    x = 7,158.92

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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.