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Finding the Fourth Proportional to 10,001.40, 13,805.82 and 8,951.64

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Solution

The fourth proportional to 10,001.40, 13,805.82 and 8,951.64 is: 12,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.40 : 13,805.82 = 8,951.64 : x
  2. Step 2: Convert to fraction form
    10,001.40/13,805.82 = 8,951.64/x
  3. Step 3: Cross multiply
    10,001.40x = 13,805.82 × 8,951.64
  4. Step 4: Simplify right side
    10,001.40x = 123,584,730.54
  5. Step 5: Solve for x
    x = 123,584,730.54/10,001.40
  6. Step 6: Final answer
    x = 12,356.74

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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.