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Finding the Fourth Proportional to 6,353.42, 8,770.80 and 4,230.20

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Solution

The fourth proportional to 6,353.42, 8,770.80 and 4,230.20 is: 5,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.42 : 8,770.80 = 4,230.20 : x
  2. Step 2: Convert to fraction form
    6,353.42/8,770.80 = 4,230.20/x
  3. Step 3: Cross multiply
    6,353.42x = 8,770.80 × 4,230.20
  4. Step 4: Simplify right side
    6,353.42x = 37,102,238.16
  5. Step 5: Solve for x
    x = 37,102,238.16/6,353.42
  6. Step 6: Final answer
    x = 5,839.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.