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Finding the Fourth Proportional to 9,293.27, 13,916.13 and 5,128.65

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Solution

The fourth proportional to 9,293.27, 13,916.13 and 5,128.65 is: 7,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.27 : 13,916.13 = 5,128.65 : x
  2. Step 2: Convert to fraction form
    9,293.27/13,916.13 = 5,128.65/x
  3. Step 3: Cross multiply
    9,293.27x = 13,916.13 × 5,128.65
  4. Step 4: Simplify right side
    9,293.27x = 71,370,960.12
  5. Step 5: Solve for x
    x = 71,370,960.12/9,293.27
  6. Step 6: Final answer
    x = 7,679.85

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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.