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Finding the Fourth Proportional to 2,710.56, 3,740.52 and 1,779

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Solution

The fourth proportional to 2,710.56, 3,740.52 and 1,779 is: 2,454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.56 : 3,740.52 = 1,779 : x
  2. Step 2: Convert to fraction form
    2,710.56/3,740.52 = 1,779/x
  3. Step 3: Cross multiply
    2,710.56x = 3,740.52 × 1,779
  4. Step 4: Simplify right side
    2,710.56x = 6,654,385.08
  5. Step 5: Solve for x
    x = 6,654,385.08/2,710.56
  6. Step 6: Final answer
    x = 2,454.99

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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.