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Finding the Fourth Proportional to 10,915.92, 15,055.92 and 6,933.60

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Solution

The fourth proportional to 10,915.92, 15,055.92 and 6,933.60 is: 9,563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.92 : 15,055.92 = 6,933.60 : x
  2. Step 2: Convert to fraction form
    10,915.92/15,055.92 = 6,933.60/x
  3. Step 3: Cross multiply
    10,915.92x = 15,055.92 × 6,933.60
  4. Step 4: Simplify right side
    10,915.92x = 104,391,726.91
  5. Step 5: Solve for x
    x = 104,391,726.91/10,915.92
  6. Step 6: Final answer
    x = 9,563.26

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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.