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Finding the Fourth Proportional to 5,820.88, 8,731.64 and 1,660.56

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Solution

The fourth proportional to 5,820.88, 8,731.64 and 1,660.56 is: 2,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.88 : 8,731.64 = 1,660.56 : x
  2. Step 2: Convert to fraction form
    5,820.88/8,731.64 = 1,660.56/x
  3. Step 3: Cross multiply
    5,820.88x = 8,731.64 × 1,660.56
  4. Step 4: Simplify right side
    5,820.88x = 14,499,433.24
  5. Step 5: Solve for x
    x = 14,499,433.24/5,820.88
  6. Step 6: Final answer
    x = 2,490.94

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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.