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Finding the Fourth Proportional to 2,792.50, 3,854.25 and 1,673.48

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Solution

The fourth proportional to 2,792.50, 3,854.25 and 1,673.48 is: 2,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.50 : 3,854.25 = 1,673.48 : x
  2. Step 2: Convert to fraction form
    2,792.50/3,854.25 = 1,673.48/x
  3. Step 3: Cross multiply
    2,792.50x = 3,854.25 × 1,673.48
  4. Step 4: Simplify right side
    2,792.50x = 6,450,010.29
  5. Step 5: Solve for x
    x = 6,450,010.29/2,792.50
  6. Step 6: Final answer
    x = 2,309.76

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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.