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Finding the Fourth Proportional to 8,657.62, 12,976.13 and 3,973.69

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Solution

The fourth proportional to 8,657.62, 12,976.13 and 3,973.69 is: 5,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.62 : 12,976.13 = 3,973.69 : x
  2. Step 2: Convert to fraction form
    8,657.62/12,976.13 = 3,973.69/x
  3. Step 3: Cross multiply
    8,657.62x = 12,976.13 × 3,973.69
  4. Step 4: Simplify right side
    8,657.62x = 51,563,144.17
  5. Step 5: Solve for x
    x = 51,563,144.17/8,657.62
  6. Step 6: Final answer
    x = 5,955.81

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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.