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Finding the Fourth Proportional to 12,500.16, 18,755.68 and 7,306

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Solution

The fourth proportional to 12,500.16, 18,755.68 and 7,306 is: 10,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,500.16 : 18,755.68 = 7,306 : x
  2. Step 2: Convert to fraction form
    12,500.16/18,755.68 = 7,306/x
  3. Step 3: Cross multiply
    12,500.16x = 18,755.68 × 7,306
  4. Step 4: Simplify right side
    12,500.16x = 137,028,998.08
  5. Step 5: Solve for x
    x = 137,028,998.08/12,500.16
  6. Step 6: Final answer
    x = 10,962.18

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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.