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Finding the Fourth Proportional to 13,677.24, 20,440.88 and 9,987.24

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Solution

The fourth proportional to 13,677.24, 20,440.88 and 9,987.24 is: 14,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.24 : 20,440.88 = 9,987.24 : x
  2. Step 2: Convert to fraction form
    13,677.24/20,440.88 = 9,987.24/x
  3. Step 3: Cross multiply
    13,677.24x = 20,440.88 × 9,987.24
  4. Step 4: Simplify right side
    13,677.24x = 204,147,974.37
  5. Step 5: Solve for x
    x = 204,147,974.37/13,677.24
  6. Step 6: Final answer
    x = 14,926.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.