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Finding the Fourth Proportional to 2,687.85, 3,710.27 and 2,407.59

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Solution

The fourth proportional to 2,687.85, 3,710.27 and 2,407.59 is: 3,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.85 : 3,710.27 = 2,407.59 : x
  2. Step 2: Convert to fraction form
    2,687.85/3,710.27 = 2,407.59/x
  3. Step 3: Cross multiply
    2,687.85x = 3,710.27 × 2,407.59
  4. Step 4: Simplify right side
    2,687.85x = 8,932,814.97
  5. Step 5: Solve for x
    x = 8,932,814.97/2,687.85
  6. Step 6: Final answer
    x = 3,323.41

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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.