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Finding the Fourth Proportional to 6,471.48, 8,930.14 and 3,638.40

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Solution

The fourth proportional to 6,471.48, 8,930.14 and 3,638.40 is: 5,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.48 : 8,930.14 = 3,638.40 : x
  2. Step 2: Convert to fraction form
    6,471.48/8,930.14 = 3,638.40/x
  3. Step 3: Cross multiply
    6,471.48x = 8,930.14 × 3,638.40
  4. Step 4: Simplify right side
    6,471.48x = 32,491,421.38
  5. Step 5: Solve for x
    x = 32,491,421.38/6,471.48
  6. Step 6: Final answer
    x = 5,020.71

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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.