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Finding the Fourth Proportional to 2,705, 4,057.76 and 1,244.56

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Solution

The fourth proportional to 2,705, 4,057.76 and 1,244.56 is: 1,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705 : 4,057.76 = 1,244.56 : x
  2. Step 2: Convert to fraction form
    2,705/4,057.76 = 1,244.56/x
  3. Step 3: Cross multiply
    2,705x = 4,057.76 × 1,244.56
  4. Step 4: Simplify right side
    2,705x = 5,050,125.79
  5. Step 5: Solve for x
    x = 5,050,125.79/2,705
  6. Step 6: Final answer
    x = 1,866.96

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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.