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Finding the Fourth Proportional to 2,454.79, 3,385.65 and 1,982.56

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Solution

The fourth proportional to 2,454.79, 3,385.65 and 1,982.56 is: 2,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.79 : 3,385.65 = 1,982.56 : x
  2. Step 2: Convert to fraction form
    2,454.79/3,385.65 = 1,982.56/x
  3. Step 3: Cross multiply
    2,454.79x = 3,385.65 × 1,982.56
  4. Step 4: Simplify right side
    2,454.79x = 6,712,254.26
  5. Step 5: Solve for x
    x = 6,712,254.26/2,454.79
  6. Step 6: Final answer
    x = 2,734.35

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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.