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Finding the Fourth Proportional to 18,665.10, 28,002.78 and 9,781.02

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Solution

The fourth proportional to 18,665.10, 28,002.78 and 9,781.02 is: 14,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,665.10 : 28,002.78 = 9,781.02 : x
  2. Step 2: Convert to fraction form
    18,665.10/28,002.78 = 9,781.02/x
  3. Step 3: Cross multiply
    18,665.10x = 28,002.78 × 9,781.02
  4. Step 4: Simplify right side
    18,665.10x = 273,895,751.24
  5. Step 5: Solve for x
    x = 273,895,751.24/18,665.10
  6. Step 6: Final answer
    x = 14,674.22

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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.