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Finding the Fourth Proportional to 11,382.34, 15,706.50 and 6,905.83

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Solution

The fourth proportional to 11,382.34, 15,706.50 and 6,905.83 is: 9,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.34 : 15,706.50 = 6,905.83 : x
  2. Step 2: Convert to fraction form
    11,382.34/15,706.50 = 6,905.83/x
  3. Step 3: Cross multiply
    11,382.34x = 15,706.50 × 6,905.83
  4. Step 4: Simplify right side
    11,382.34x = 108,466,418.90
  5. Step 5: Solve for x
    x = 108,466,418.90/11,382.34
  6. Step 6: Final answer
    x = 9,529.36

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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.