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Finding the Fourth Proportional to 14,761.50, 20,370.87 and 8,475.90

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Solution

The fourth proportional to 14,761.50, 20,370.87 and 8,475.90 is: 11,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.50 : 20,370.87 = 8,475.90 : x
  2. Step 2: Convert to fraction form
    14,761.50/20,370.87 = 8,475.90/x
  3. Step 3: Cross multiply
    14,761.50x = 20,370.87 × 8,475.90
  4. Step 4: Simplify right side
    14,761.50x = 172,661,457.03
  5. Step 5: Solve for x
    x = 172,661,457.03/14,761.50
  6. Step 6: Final answer
    x = 11,696.74

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1.5x scale

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.