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Finding the Fourth Proportional to 2,813.70, 3,854.71 and 2,708.53

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Solution

The fourth proportional to 2,813.70, 3,854.71 and 2,708.53 is: 3,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.70 : 3,854.71 = 2,708.53 : x
  2. Step 2: Convert to fraction form
    2,813.70/3,854.71 = 2,708.53/x
  3. Step 3: Cross multiply
    2,813.70x = 3,854.71 × 2,708.53
  4. Step 4: Simplify right side
    2,813.70x = 10,440,584.13
  5. Step 5: Solve for x
    x = 10,440,584.13/2,813.70
  6. Step 6: Final answer
    x = 3,710.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.