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Finding the Fourth Proportional to 10,350.96, 15,438 and 8,801.16

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Solution

The fourth proportional to 10,350.96, 15,438 and 8,801.16 is: 13,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.96 : 15,438 = 8,801.16 : x
  2. Step 2: Convert to fraction form
    10,350.96/15,438 = 8,801.16/x
  3. Step 3: Cross multiply
    10,350.96x = 15,438 × 8,801.16
  4. Step 4: Simplify right side
    10,350.96x = 135,872,308.08
  5. Step 5: Solve for x
    x = 135,872,308.08/10,350.96
  6. Step 6: Final answer
    x = 13,126.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.