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Finding the Fourth Proportional to 11,394, 15,715.08 and 7,863.12

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Solution

The fourth proportional to 11,394, 15,715.08 and 7,863.12 is: 10,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394 : 15,715.08 = 7,863.12 : x
  2. Step 2: Convert to fraction form
    11,394/15,715.08 = 7,863.12/x
  3. Step 3: Cross multiply
    11,394x = 15,715.08 × 7,863.12
  4. Step 4: Simplify right side
    11,394x = 123,569,559.85
  5. Step 5: Solve for x
    x = 123,569,559.85/11,394
  6. Step 6: Final answer
    x = 10,845.14

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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.