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Finding the Fourth Proportional to 9,612.10, 13,265.13 and 6,419.80

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Solution

The fourth proportional to 9,612.10, 13,265.13 and 6,419.80 is: 8,859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.10 : 13,265.13 = 6,419.80 : x
  2. Step 2: Convert to fraction form
    9,612.10/13,265.13 = 6,419.80/x
  3. Step 3: Cross multiply
    9,612.10x = 13,265.13 × 6,419.80
  4. Step 4: Simplify right side
    9,612.10x = 85,159,481.57
  5. Step 5: Solve for x
    x = 85,159,481.57/9,612.10
  6. Step 6: Final answer
    x = 8,859.61

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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.