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Finding the Fourth Proportional to 6,671.63, 9,211.10 and 4,157.42

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Solution

The fourth proportional to 6,671.63, 9,211.10 and 4,157.42 is: 5,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.63 : 9,211.10 = 4,157.42 : x
  2. Step 2: Convert to fraction form
    6,671.63/9,211.10 = 4,157.42/x
  3. Step 3: Cross multiply
    6,671.63x = 9,211.10 × 4,157.42
  4. Step 4: Simplify right side
    6,671.63x = 38,294,344.52
  5. Step 5: Solve for x
    x = 38,294,344.52/6,671.63
  6. Step 6: Final answer
    x = 5,739.88

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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.