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Finding the Fourth Proportional to 12,642.53, 18,967.64 and 8,951.90

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Solution

The fourth proportional to 12,642.53, 18,967.64 and 8,951.90 is: 13,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.53 : 18,967.64 = 8,951.90 : x
  2. Step 2: Convert to fraction form
    12,642.53/18,967.64 = 8,951.90/x
  3. Step 3: Cross multiply
    12,642.53x = 18,967.64 × 8,951.90
  4. Step 4: Simplify right side
    12,642.53x = 169,796,276.92
  5. Step 5: Solve for x
    x = 169,796,276.92/12,642.53
  6. Step 6: Final answer
    x = 13,430.57

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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.