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Finding the Fourth Proportional to 12,347.14, 18,520.76 and 2,987.14

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Solution

The fourth proportional to 12,347.14, 18,520.76 and 2,987.14 is: 4,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.14 : 18,520.76 = 2,987.14 : x
  2. Step 2: Convert to fraction form
    12,347.14/18,520.76 = 2,987.14/x
  3. Step 3: Cross multiply
    12,347.14x = 18,520.76 × 2,987.14
  4. Step 4: Simplify right side
    12,347.14x = 55,324,103.03
  5. Step 5: Solve for x
    x = 55,324,103.03/12,347.14
  6. Step 6: Final answer
    x = 4,480.72

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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.