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Finding the Fourth Proportional to 8,665.76, 13,000 and 3,736.80

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Solution

The fourth proportional to 8,665.76, 13,000 and 3,736.80 is: 5,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.76 : 13,000 = 3,736.80 : x
  2. Step 2: Convert to fraction form
    8,665.76/13,000 = 3,736.80/x
  3. Step 3: Cross multiply
    8,665.76x = 13,000 × 3,736.80
  4. Step 4: Simplify right side
    8,665.76x = 48,578,400
  5. Step 5: Solve for x
    x = 48,578,400/8,665.76
  6. Step 6: Final answer
    x = 5,605.79

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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.