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Finding the Fourth Proportional to 13,987.10, 20,980.66 and 13,131.74

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Solution

The fourth proportional to 13,987.10, 20,980.66 and 13,131.74 is: 19,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.10 : 20,980.66 = 13,131.74 : x
  2. Step 2: Convert to fraction form
    13,987.10/20,980.66 = 13,131.74/x
  3. Step 3: Cross multiply
    13,987.10x = 20,980.66 × 13,131.74
  4. Step 4: Simplify right side
    13,987.10x = 275,512,572.15
  5. Step 5: Solve for x
    x = 275,512,572.15/13,987.10
  6. Step 6: Final answer
    x = 19,697.62

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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.