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Finding the Fourth Proportional to 18,870, 26,041.68 and 10,489.20

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Solution

The fourth proportional to 18,870, 26,041.68 and 10,489.20 is: 14,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,870 : 26,041.68 = 10,489.20 : x
  2. Step 2: Convert to fraction form
    18,870/26,041.68 = 10,489.20/x
  3. Step 3: Cross multiply
    18,870x = 26,041.68 × 10,489.20
  4. Step 4: Simplify right side
    18,870x = 273,156,389.86
  5. Step 5: Solve for x
    x = 273,156,389.86/18,870
  6. Step 6: Final answer
    x = 14,475.70

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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.