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Finding the Fourth Proportional to 2,854.67, 3,938.22 and 1,659.56

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Solution

The fourth proportional to 2,854.67, 3,938.22 and 1,659.56 is: 2,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.67 : 3,938.22 = 1,659.56 : x
  2. Step 2: Convert to fraction form
    2,854.67/3,938.22 = 1,659.56/x
  3. Step 3: Cross multiply
    2,854.67x = 3,938.22 × 1,659.56
  4. Step 4: Simplify right side
    2,854.67x = 6,535,712.38
  5. Step 5: Solve for x
    x = 6,535,712.38/2,854.67
  6. Step 6: Final answer
    x = 2,289.48

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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.