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Finding the Fourth Proportional to 13,770.64, 20,657.32 and 4,408.30

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Solution

The fourth proportional to 13,770.64, 20,657.32 and 4,408.30 is: 6,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.64 : 20,657.32 = 4,408.30 : x
  2. Step 2: Convert to fraction form
    13,770.64/20,657.32 = 4,408.30/x
  3. Step 3: Cross multiply
    13,770.64x = 20,657.32 × 4,408.30
  4. Step 4: Simplify right side
    13,770.64x = 91,063,663.76
  5. Step 5: Solve for x
    x = 91,063,663.76/13,770.64
  6. Step 6: Final answer
    x = 6,612.89

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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.