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Finding the Fourth Proportional to 5,768.66, 8,645.70 and 3,687.86

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Solution

The fourth proportional to 5,768.66, 8,645.70 and 3,687.86 is: 5,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.66 : 8,645.70 = 3,687.86 : x
  2. Step 2: Convert to fraction form
    5,768.66/8,645.70 = 3,687.86/x
  3. Step 3: Cross multiply
    5,768.66x = 8,645.70 × 3,687.86
  4. Step 4: Simplify right side
    5,768.66x = 31,884,131.20
  5. Step 5: Solve for x
    x = 31,884,131.20/5,768.66
  6. Step 6: Final answer
    x = 5,527.13

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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.