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Finding the Fourth Proportional to 11,894.28, 16,416 and 7,422.90

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Solution

The fourth proportional to 11,894.28, 16,416 and 7,422.90 is: 10,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.28 : 16,416 = 7,422.90 : x
  2. Step 2: Convert to fraction form
    11,894.28/16,416 = 7,422.90/x
  3. Step 3: Cross multiply
    11,894.28x = 16,416 × 7,422.90
  4. Step 4: Simplify right side
    11,894.28x = 121,854,326.40
  5. Step 5: Solve for x
    x = 121,854,326.40/11,894.28
  6. Step 6: Final answer
    x = 10,244.78

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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.