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Finding the Fourth Proportional to 8,657.28, 12,980.72 and 3,971.42

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Solution

The fourth proportional to 8,657.28, 12,980.72 and 3,971.42 is: 5,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.28 : 12,980.72 = 3,971.42 : x
  2. Step 2: Convert to fraction form
    8,657.28/12,980.72 = 3,971.42/x
  3. Step 3: Cross multiply
    8,657.28x = 12,980.72 × 3,971.42
  4. Step 4: Simplify right side
    8,657.28x = 51,551,866.47
  5. Step 5: Solve for x
    x = 51,551,866.47/8,657.28
  6. Step 6: Final answer
    x = 5,954.74

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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.