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Finding the Fourth Proportional to 5,687.86, 7,849.86 and 3,331.98

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Solution

The fourth proportional to 5,687.86, 7,849.86 and 3,331.98 is: 4,598.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.86 : 7,849.86 = 3,331.98 : x
  2. Step 2: Convert to fraction form
    5,687.86/7,849.86 = 3,331.98/x
  3. Step 3: Cross multiply
    5,687.86x = 7,849.86 × 3,331.98
  4. Step 4: Simplify right side
    5,687.86x = 26,155,576.52
  5. Step 5: Solve for x
    x = 26,155,576.52/5,687.86
  6. Step 6: Final answer
    x = 4,598.49

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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.