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Finding the Fourth Proportional to 9,178.85, 13,770.70 and 3,914.16

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Solution

The fourth proportional to 9,178.85, 13,770.70 and 3,914.16 is: 5,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.85 : 13,770.70 = 3,914.16 : x
  2. Step 2: Convert to fraction form
    9,178.85/13,770.70 = 3,914.16/x
  3. Step 3: Cross multiply
    9,178.85x = 13,770.70 × 3,914.16
  4. Step 4: Simplify right side
    9,178.85x = 53,900,714.28
  5. Step 5: Solve for x
    x = 53,900,714.28/9,178.85
  6. Step 6: Final answer
    x = 5,872.27

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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.