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Finding the Fourth Proportional to 8,358.54, 12,538.17 and 4,657.95

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Solution

The fourth proportional to 8,358.54, 12,538.17 and 4,657.95 is: 6,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.54 : 12,538.17 = 4,657.95 : x
  2. Step 2: Convert to fraction form
    8,358.54/12,538.17 = 4,657.95/x
  3. Step 3: Cross multiply
    8,358.54x = 12,538.17 × 4,657.95
  4. Step 4: Simplify right side
    8,358.54x = 58,402,168.95
  5. Step 5: Solve for x
    x = 58,402,168.95/8,358.54
  6. Step 6: Final answer
    x = 6,987.13

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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.