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Finding the Fourth Proportional to 11,384, 15,714.24 and 7,660.16

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Solution

The fourth proportional to 11,384, 15,714.24 and 7,660.16 is: 10,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384 : 15,714.24 = 7,660.16 : x
  2. Step 2: Convert to fraction form
    11,384/15,714.24 = 7,660.16/x
  3. Step 3: Cross multiply
    11,384x = 15,714.24 × 7,660.16
  4. Step 4: Simplify right side
    11,384x = 120,373,592.68
  5. Step 5: Solve for x
    x = 120,373,592.68/11,384
  6. Step 6: Final answer
    x = 10,573.93

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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.