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Finding the Fourth Proportional to 12,918, 19,377.15 and 4,152.90

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Solution

The fourth proportional to 12,918, 19,377.15 and 4,152.90 is: 6,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,918 : 19,377.15 = 4,152.90 : x
  2. Step 2: Convert to fraction form
    12,918/19,377.15 = 4,152.90/x
  3. Step 3: Cross multiply
    12,918x = 19,377.15 × 4,152.90
  4. Step 4: Simplify right side
    12,918x = 80,471,366.24
  5. Step 5: Solve for x
    x = 80,471,366.24/12,918
  6. Step 6: Final answer
    x = 6,229.40

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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.