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Finding the Fourth Proportional to 13,842.88, 20,742.80 and 5,519.14

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Solution

The fourth proportional to 13,842.88, 20,742.80 and 5,519.14 is: 8,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.88 : 20,742.80 = 5,519.14 : x
  2. Step 2: Convert to fraction form
    13,842.88/20,742.80 = 5,519.14/x
  3. Step 3: Cross multiply
    13,842.88x = 20,742.80 × 5,519.14
  4. Step 4: Simplify right side
    13,842.88x = 114,482,337.74
  5. Step 5: Solve for x
    x = 114,482,337.74/13,842.88
  6. Step 6: Final answer
    x = 8,270.13

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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.