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Finding the Fourth Proportional to 2,687.70, 3,708.86 and 1,568.47

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Solution

The fourth proportional to 2,687.70, 3,708.86 and 1,568.47 is: 2,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.70 : 3,708.86 = 1,568.47 : x
  2. Step 2: Convert to fraction form
    2,687.70/3,708.86 = 1,568.47/x
  3. Step 3: Cross multiply
    2,687.70x = 3,708.86 × 1,568.47
  4. Step 4: Simplify right side
    2,687.70x = 5,817,225.48
  5. Step 5: Solve for x
    x = 5,817,225.48/2,687.70
  6. Step 6: Final answer
    x = 2,164.38

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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.