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Finding the Fourth Proportional to 10,671.16, 15,983.64 and 7,743

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Solution

The fourth proportional to 10,671.16, 15,983.64 and 7,743 is: 11,597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.16 : 15,983.64 = 7,743 : x
  2. Step 2: Convert to fraction form
    10,671.16/15,983.64 = 7,743/x
  3. Step 3: Cross multiply
    10,671.16x = 15,983.64 × 7,743
  4. Step 4: Simplify right side
    10,671.16x = 123,761,324.52
  5. Step 5: Solve for x
    x = 123,761,324.52/10,671.16
  6. Step 6: Final answer
    x = 11,597.74

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Why These Related Problems?

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