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Finding the Fourth Proportional to 8,354.52, 12,526.92 and 3,160.80

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Solution

The fourth proportional to 8,354.52, 12,526.92 and 3,160.80 is: 4,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.52 : 12,526.92 = 3,160.80 : x
  2. Step 2: Convert to fraction form
    8,354.52/12,526.92 = 3,160.80/x
  3. Step 3: Cross multiply
    8,354.52x = 12,526.92 × 3,160.80
  4. Step 4: Simplify right side
    8,354.52x = 39,595,088.74
  5. Step 5: Solve for x
    x = 39,595,088.74/8,354.52
  6. Step 6: Final answer
    x = 4,739.36

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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.