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Finding the Fourth Proportional to 2,687.90, 3,711.11 and 2,057.29

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Solution

The fourth proportional to 2,687.90, 3,711.11 and 2,057.29 is: 2,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.90 : 3,711.11 = 2,057.29 : x
  2. Step 2: Convert to fraction form
    2,687.90/3,711.11 = 2,057.29/x
  3. Step 3: Cross multiply
    2,687.90x = 3,711.11 × 2,057.29
  4. Step 4: Simplify right side
    2,687.90x = 7,634,823.84
  5. Step 5: Solve for x
    x = 7,634,823.84/2,687.90
  6. Step 6: Final answer
    x = 2,840.45

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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.