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Finding the Fourth Proportional to 5,631.72, 8,446.83 and 1,471.40

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Solution

The fourth proportional to 5,631.72, 8,446.83 and 1,471.40 is: 2,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.72 : 8,446.83 = 1,471.40 : x
  2. Step 2: Convert to fraction form
    5,631.72/8,446.83 = 1,471.40/x
  3. Step 3: Cross multiply
    5,631.72x = 8,446.83 × 1,471.40
  4. Step 4: Simplify right side
    5,631.72x = 12,428,623.43
  5. Step 5: Solve for x
    x = 12,428,623.43/5,631.72
  6. Step 6: Final answer
    x = 2,206.90

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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.