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Finding the Fourth Proportional to 12,663, 19,000.98 and 5,645.16

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Solution

The fourth proportional to 12,663, 19,000.98 and 5,645.16 is: 8,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663 : 19,000.98 = 5,645.16 : x
  2. Step 2: Convert to fraction form
    12,663/19,000.98 = 5,645.16/x
  3. Step 3: Cross multiply
    12,663x = 19,000.98 × 5,645.16
  4. Step 4: Simplify right side
    12,663x = 107,263,572.26
  5. Step 5: Solve for x
    x = 107,263,572.26/12,663
  6. Step 6: Final answer
    x = 8,470.63

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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.