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Finding the Fourth Proportional to 10,909.74, 16,363.74 and 3,512.28

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Solution

The fourth proportional to 10,909.74, 16,363.74 and 3,512.28 is: 5,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.74 : 16,363.74 = 3,512.28 : x
  2. Step 2: Convert to fraction form
    10,909.74/16,363.74 = 3,512.28/x
  3. Step 3: Cross multiply
    10,909.74x = 16,363.74 × 3,512.28
  4. Step 4: Simplify right side
    10,909.74x = 57,474,036.73
  5. Step 5: Solve for x
    x = 57,474,036.73/10,909.74
  6. Step 6: Final answer
    x = 5,268.14

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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.