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Finding the Fourth Proportional to 9,561.71, 14,342.57 and 2,987.92

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Solution

The fourth proportional to 9,561.71, 14,342.57 and 2,987.92 is: 4,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.71 : 14,342.57 = 2,987.92 : x
  2. Step 2: Convert to fraction form
    9,561.71/14,342.57 = 2,987.92/x
  3. Step 3: Cross multiply
    9,561.71x = 14,342.57 × 2,987.92
  4. Step 4: Simplify right side
    9,561.71x = 42,854,465.95
  5. Step 5: Solve for x
    x = 42,854,465.95/9,561.71
  6. Step 6: Final answer
    x = 4,481.88

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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.