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Finding the Fourth Proportional to 2,708.32, 3,735 and 1,711.87

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Solution

The fourth proportional to 2,708.32, 3,735 and 1,711.87 is: 2,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.32 : 3,735 = 1,711.87 : x
  2. Step 2: Convert to fraction form
    2,708.32/3,735 = 1,711.87/x
  3. Step 3: Cross multiply
    2,708.32x = 3,735 × 1,711.87
  4. Step 4: Simplify right side
    2,708.32x = 6,393,834.45
  5. Step 5: Solve for x
    x = 6,393,834.45/2,708.32
  6. Step 6: Final answer
    x = 2,360.81

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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.