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Finding the Fourth Proportional to 11,902.80, 16,422.84 and 7,426.20

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Solution

The fourth proportional to 11,902.80, 16,422.84 and 7,426.20 is: 10,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.80 : 16,422.84 = 7,426.20 : x
  2. Step 2: Convert to fraction form
    11,902.80/16,422.84 = 7,426.20/x
  3. Step 3: Cross multiply
    11,902.80x = 16,422.84 × 7,426.20
  4. Step 4: Simplify right side
    11,902.80x = 121,959,294.41
  5. Step 5: Solve for x
    x = 121,959,294.41/11,902.80
  6. Step 6: Final answer
    x = 10,246.27

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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.