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Finding the Fourth Proportional to 10,448.92, 15,660.42 and 5,256.28

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Solution

The fourth proportional to 10,448.92, 15,660.42 and 5,256.28 is: 7,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.92 : 15,660.42 = 5,256.28 : x
  2. Step 2: Convert to fraction form
    10,448.92/15,660.42 = 5,256.28/x
  3. Step 3: Cross multiply
    10,448.92x = 15,660.42 × 5,256.28
  4. Step 4: Simplify right side
    10,448.92x = 82,315,552.44
  5. Step 5: Solve for x
    x = 82,315,552.44/10,448.92
  6. Step 6: Final answer
    x = 7,877.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.