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Finding the Fourth Proportional to 8,999.91, 13,500 and 3,156.57

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Solution

The fourth proportional to 8,999.91, 13,500 and 3,156.57 is: 4,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,999.91 : 13,500 = 3,156.57 : x
  2. Step 2: Convert to fraction form
    8,999.91/13,500 = 3,156.57/x
  3. Step 3: Cross multiply
    8,999.91x = 13,500 × 3,156.57
  4. Step 4: Simplify right side
    8,999.91x = 42,613,695
  5. Step 5: Solve for x
    x = 42,613,695/8,999.91
  6. Step 6: Final answer
    x = 4,734.90

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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.