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Finding the Fourth Proportional to 8,657.70, 12,981.35 and 3,386.42

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Solution

The fourth proportional to 8,657.70, 12,981.35 and 3,386.42 is: 5,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.70 : 12,981.35 = 3,386.42 : x
  2. Step 2: Convert to fraction form
    8,657.70/12,981.35 = 3,386.42/x
  3. Step 3: Cross multiply
    8,657.70x = 12,981.35 × 3,386.42
  4. Step 4: Simplify right side
    8,657.70x = 43,960,363.76
  5. Step 5: Solve for x
    x = 43,960,363.76/8,657.70
  6. Step 6: Final answer
    x = 5,077.60

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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.