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Finding the Fourth Proportional to 10,961.97, 15,109.74 and 8,567.71

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Solution

The fourth proportional to 10,961.97, 15,109.74 and 8,567.71 is: 11,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.97 : 15,109.74 = 8,567.71 : x
  2. Step 2: Convert to fraction form
    10,961.97/15,109.74 = 8,567.71/x
  3. Step 3: Cross multiply
    10,961.97x = 15,109.74 × 8,567.71
  4. Step 4: Simplify right side
    10,961.97x = 129,455,832.72
  5. Step 5: Solve for x
    x = 129,455,832.72/10,961.97
  6. Step 6: Final answer
    x = 11,809.54

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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.