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Finding the Fourth Proportional to 8,407.52, 12,606.96 and 3,788

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Solution

The fourth proportional to 8,407.52, 12,606.96 and 3,788 is: 5,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.52 : 12,606.96 = 3,788 : x
  2. Step 2: Convert to fraction form
    8,407.52/12,606.96 = 3,788/x
  3. Step 3: Cross multiply
    8,407.52x = 12,606.96 × 3,788
  4. Step 4: Simplify right side
    8,407.52x = 47,755,164.48
  5. Step 5: Solve for x
    x = 47,755,164.48/8,407.52
  6. Step 6: Final answer
    x = 5,680.05

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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.