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Finding the Fourth Proportional to 8,470.50, 11,689.29 and 5,158.50

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Solution

The fourth proportional to 8,470.50, 11,689.29 and 5,158.50 is: 7,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.50 : 11,689.29 = 5,158.50 : x
  2. Step 2: Convert to fraction form
    8,470.50/11,689.29 = 5,158.50/x
  3. Step 3: Cross multiply
    8,470.50x = 11,689.29 × 5,158.50
  4. Step 4: Simplify right side
    8,470.50x = 60,299,202.47
  5. Step 5: Solve for x
    x = 60,299,202.47/8,470.50
  6. Step 6: Final answer
    x = 7,118.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.