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Finding the Fourth Proportional to 12,924, 19,386 and 4,159.80

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Solution

The fourth proportional to 12,924, 19,386 and 4,159.80 is: 6,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924 : 19,386 = 4,159.80 : x
  2. Step 2: Convert to fraction form
    12,924/19,386 = 4,159.80/x
  3. Step 3: Cross multiply
    12,924x = 19,386 × 4,159.80
  4. Step 4: Simplify right side
    12,924x = 80,641,882.80
  5. Step 5: Solve for x
    x = 80,641,882.80/12,924
  6. Step 6: Final answer
    x = 6,239.70

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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.