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Finding the Fourth Proportional to 6,421.65, 8,861 and 3,588.66

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Solution

The fourth proportional to 6,421.65, 8,861 and 3,588.66 is: 4,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.65 : 8,861 = 3,588.66 : x
  2. Step 2: Convert to fraction form
    6,421.65/8,861 = 3,588.66/x
  3. Step 3: Cross multiply
    6,421.65x = 8,861 × 3,588.66
  4. Step 4: Simplify right side
    6,421.65x = 31,799,116.26
  5. Step 5: Solve for x
    x = 31,799,116.26/6,421.65
  6. Step 6: Final answer
    x = 4,951.86

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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.