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Finding the Fourth Proportional to 9,051, 12,489.96 and 5,072.44

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Solution

The fourth proportional to 9,051, 12,489.96 and 5,072.44 is: 6,999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051 : 12,489.96 = 5,072.44 : x
  2. Step 2: Convert to fraction form
    9,051/12,489.96 = 5,072.44/x
  3. Step 3: Cross multiply
    9,051x = 12,489.96 × 5,072.44
  4. Step 4: Simplify right side
    9,051x = 63,354,572.70
  5. Step 5: Solve for x
    x = 63,354,572.70/9,051
  6. Step 6: Final answer
    x = 6,999.73

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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.