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Finding the Fourth Proportional to 8,551.47, 12,829.13 and 3,005.20

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Solution

The fourth proportional to 8,551.47, 12,829.13 and 3,005.20 is: 4,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,551.47 : 12,829.13 = 3,005.20 : x
  2. Step 2: Convert to fraction form
    8,551.47/12,829.13 = 3,005.20/x
  3. Step 3: Cross multiply
    8,551.47x = 12,829.13 × 3,005.20
  4. Step 4: Simplify right side
    8,551.47x = 38,554,101.48
  5. Step 5: Solve for x
    x = 38,554,101.48/8,551.47
  6. Step 6: Final answer
    x = 4,508.48

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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.