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Finding the Fourth Proportional to 8,402.50, 12,618.15 and 7,964.74

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Solution

The fourth proportional to 8,402.50, 12,618.15 and 7,964.74 is: 11,960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.50 : 12,618.15 = 7,964.74 : x
  2. Step 2: Convert to fraction form
    8,402.50/12,618.15 = 7,964.74/x
  3. Step 3: Cross multiply
    8,402.50x = 12,618.15 × 7,964.74
  4. Step 4: Simplify right side
    8,402.50x = 100,500,284.03
  5. Step 5: Solve for x
    x = 100,500,284.03/8,402.50
  6. Step 6: Final answer
    x = 11,960.76

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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.