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Finding the Fourth Proportional to 12,612, 18,920.70 and 4,292.76

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Solution

The fourth proportional to 12,612, 18,920.70 and 4,292.76 is: 6,440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612 : 18,920.70 = 4,292.76 : x
  2. Step 2: Convert to fraction form
    12,612/18,920.70 = 4,292.76/x
  3. Step 3: Cross multiply
    12,612x = 18,920.70 × 4,292.76
  4. Step 4: Simplify right side
    12,612x = 81,222,024.13
  5. Step 5: Solve for x
    x = 81,222,024.13/12,612
  6. Step 6: Final answer
    x = 6,440.06

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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.