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Finding the Fourth Proportional to 5,820.28, 8,731.88 and 1,660.28

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Solution

The fourth proportional to 5,820.28, 8,731.88 and 1,660.28 is: 2,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.28 : 8,731.88 = 1,660.28 : x
  2. Step 2: Convert to fraction form
    5,820.28/8,731.88 = 1,660.28/x
  3. Step 3: Cross multiply
    5,820.28x = 8,731.88 × 1,660.28
  4. Step 4: Simplify right side
    5,820.28x = 14,497,365.73
  5. Step 5: Solve for x
    x = 14,497,365.73/5,820.28
  6. Step 6: Final answer
    x = 2,490.84

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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.