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Finding the Fourth Proportional to 12,530.29, 18,788.13 and 8,374.99

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Solution

The fourth proportional to 12,530.29, 18,788.13 and 8,374.99 is: 12,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.29 : 18,788.13 = 8,374.99 : x
  2. Step 2: Convert to fraction form
    12,530.29/18,788.13 = 8,374.99/x
  3. Step 3: Cross multiply
    12,530.29x = 18,788.13 × 8,374.99
  4. Step 4: Simplify right side
    12,530.29x = 157,350,400.87
  5. Step 5: Solve for x
    x = 157,350,400.87/12,530.29
  6. Step 6: Final answer
    x = 12,557.60

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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.