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Finding the Fourth Proportional to 9,000.80, 13,503.96 and 3,158

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Solution

The fourth proportional to 9,000.80, 13,503.96 and 3,158 is: 4,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.80 : 13,503.96 = 3,158 : x
  2. Step 2: Convert to fraction form
    9,000.80/13,503.96 = 3,158/x
  3. Step 3: Cross multiply
    9,000.80x = 13,503.96 × 3,158
  4. Step 4: Simplify right side
    9,000.80x = 42,645,505.68
  5. Step 5: Solve for x
    x = 42,645,505.68/9,000.80
  6. Step 6: Final answer
    x = 4,737.97

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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.