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Finding the Fourth Proportional to 13,975.20, 20,987.10 and 7,414.20

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Solution

The fourth proportional to 13,975.20, 20,987.10 and 7,414.20 is: 11,134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975.20 : 20,987.10 = 7,414.20 : x
  2. Step 2: Convert to fraction form
    13,975.20/20,987.10 = 7,414.20/x
  3. Step 3: Cross multiply
    13,975.20x = 20,987.10 × 7,414.20
  4. Step 4: Simplify right side
    13,975.20x = 155,602,556.82
  5. Step 5: Solve for x
    x = 155,602,556.82/13,975.20
  6. Step 6: Final answer
    x = 11,134.19

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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.