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Finding the Fourth Proportional to 12,987.42, 17,921.68 and 7,321.87

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Solution

The fourth proportional to 12,987.42, 17,921.68 and 7,321.87 is: 10,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.42 : 17,921.68 = 7,321.87 : x
  2. Step 2: Convert to fraction form
    12,987.42/17,921.68 = 7,321.87/x
  3. Step 3: Cross multiply
    12,987.42x = 17,921.68 × 7,321.87
  4. Step 4: Simplify right side
    12,987.42x = 131,220,211.14
  5. Step 5: Solve for x
    x = 131,220,211.14/12,987.42
  6. Step 6: Final answer
    x = 10,103.64

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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.