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Finding the Fourth Proportional to 10,642.79, 15,949.23 and 8,411.81

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Solution

The fourth proportional to 10,642.79, 15,949.23 and 8,411.81 is: 12,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.79 : 15,949.23 = 8,411.81 : x
  2. Step 2: Convert to fraction form
    10,642.79/15,949.23 = 8,411.81/x
  3. Step 3: Cross multiply
    10,642.79x = 15,949.23 × 8,411.81
  4. Step 4: Simplify right side
    10,642.79x = 134,161,850.35
  5. Step 5: Solve for x
    x = 134,161,850.35/10,642.79
  6. Step 6: Final answer
    x = 12,605.90

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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.