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Finding the Fourth Proportional to 10,662, 15,995.40 and 4,091.28

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Solution

The fourth proportional to 10,662, 15,995.40 and 4,091.28 is: 6,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662 : 15,995.40 = 4,091.28 : x
  2. Step 2: Convert to fraction form
    10,662/15,995.40 = 4,091.28/x
  3. Step 3: Cross multiply
    10,662x = 15,995.40 × 4,091.28
  4. Step 4: Simplify right side
    10,662x = 65,441,660.11
  5. Step 5: Solve for x
    x = 65,441,660.11/10,662
  6. Step 6: Final answer
    x = 6,137.84

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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.