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Finding the Fourth Proportional to 12,987.76, 17,922.21 and 7,322.71

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Solution

The fourth proportional to 12,987.76, 17,922.21 and 7,322.71 is: 10,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.76 : 17,922.21 = 7,322.71 : x
  2. Step 2: Convert to fraction form
    12,987.76/17,922.21 = 7,322.71/x
  3. Step 3: Cross multiply
    12,987.76x = 17,922.21 × 7,322.71
  4. Step 4: Simplify right side
    12,987.76x = 131,239,074.12
  5. Step 5: Solve for x
    x = 131,239,074.12/12,987.76
  6. Step 6: Final answer
    x = 10,104.83

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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.