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Finding the Fourth Proportional to 2,807.72, 4,207.26 and 1,652.20

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Solution

The fourth proportional to 2,807.72, 4,207.26 and 1,652.20 is: 2,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.72 : 4,207.26 = 1,652.20 : x
  2. Step 2: Convert to fraction form
    2,807.72/4,207.26 = 1,652.20/x
  3. Step 3: Cross multiply
    2,807.72x = 4,207.26 × 1,652.20
  4. Step 4: Simplify right side
    2,807.72x = 6,951,234.97
  5. Step 5: Solve for x
    x = 6,951,234.97/2,807.72
  6. Step 6: Final answer
    x = 2,475.76

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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.