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Finding the Fourth Proportional to 9,761.80, 14,639.10 and 3,188.20

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Solution

The fourth proportional to 9,761.80, 14,639.10 and 3,188.20 is: 4,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.80 : 14,639.10 = 3,188.20 : x
  2. Step 2: Convert to fraction form
    9,761.80/14,639.10 = 3,188.20/x
  3. Step 3: Cross multiply
    9,761.80x = 14,639.10 × 3,188.20
  4. Step 4: Simplify right side
    9,761.80x = 46,672,378.62
  5. Step 5: Solve for x
    x = 46,672,378.62/9,761.80
  6. Step 6: Final answer
    x = 4,781.12

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1.5x scale

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.