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Finding the Fourth Proportional to 9,141.79, 13,715.16 and 2,902

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Solution

The fourth proportional to 9,141.79, 13,715.16 and 2,902 is: 4,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.79 : 13,715.16 = 2,902 : x
  2. Step 2: Convert to fraction form
    9,141.79/13,715.16 = 2,902/x
  3. Step 3: Cross multiply
    9,141.79x = 13,715.16 × 2,902
  4. Step 4: Simplify right side
    9,141.79x = 39,801,394.32
  5. Step 5: Solve for x
    x = 39,801,394.32/9,141.79
  6. Step 6: Final answer
    x = 4,353.79

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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.