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Finding the Fourth Proportional to 20,978.87, 31,457.49 and 6,185.87

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Solution

The fourth proportional to 20,978.87, 31,457.49 and 6,185.87 is: 9,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.87 : 31,457.49 = 6,185.87 : x
  2. Step 2: Convert to fraction form
    20,978.87/31,457.49 = 6,185.87/x
  3. Step 3: Cross multiply
    20,978.87x = 31,457.49 × 6,185.87
  4. Step 4: Simplify right side
    20,978.87x = 194,591,898.55
  5. Step 5: Solve for x
    x = 194,591,898.55/20,978.87
  6. Step 6: Final answer
    x = 9,275.61

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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.