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Finding the Fourth Proportional to 11,400.38, 15,732.69 and 6,684.74

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Solution

The fourth proportional to 11,400.38, 15,732.69 and 6,684.74 is: 9,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.38 : 15,732.69 = 6,684.74 : x
  2. Step 2: Convert to fraction form
    11,400.38/15,732.69 = 6,684.74/x
  3. Step 3: Cross multiply
    11,400.38x = 15,732.69 × 6,684.74
  4. Step 4: Simplify right side
    11,400.38x = 105,168,942.15
  5. Step 5: Solve for x
    x = 105,168,942.15/11,400.38
  6. Step 6: Final answer
    x = 9,225.04

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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.