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Finding the Fourth Proportional to 5,956.65, 8,221.68 and 4,188.87

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Solution

The fourth proportional to 5,956.65, 8,221.68 and 4,188.87 is: 5,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.65 : 8,221.68 = 4,188.87 : x
  2. Step 2: Convert to fraction form
    5,956.65/8,221.68 = 4,188.87/x
  3. Step 3: Cross multiply
    5,956.65x = 8,221.68 × 4,188.87
  4. Step 4: Simplify right side
    5,956.65x = 34,439,548.70
  5. Step 5: Solve for x
    x = 34,439,548.70/5,956.65
  6. Step 6: Final answer
    x = 5,781.70

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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.