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Finding the Fourth Proportional to 11,000.94, 15,182.82 and 7,641.90

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Solution

The fourth proportional to 11,000.94, 15,182.82 and 7,641.90 is: 10,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.94 : 15,182.82 = 7,641.90 : x
  2. Step 2: Convert to fraction form
    11,000.94/15,182.82 = 7,641.90/x
  3. Step 3: Cross multiply
    11,000.94x = 15,182.82 × 7,641.90
  4. Step 4: Simplify right side
    11,000.94x = 116,025,592.16
  5. Step 5: Solve for x
    x = 116,025,592.16/11,000.94
  6. Step 6: Final answer
    x = 10,546.88

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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.