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Finding the Fourth Proportional to 2,782.89, 3,841.02 and 1,734.75

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Solution

The fourth proportional to 2,782.89, 3,841.02 and 1,734.75 is: 2,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.89 : 3,841.02 = 1,734.75 : x
  2. Step 2: Convert to fraction form
    2,782.89/3,841.02 = 1,734.75/x
  3. Step 3: Cross multiply
    2,782.89x = 3,841.02 × 1,734.75
  4. Step 4: Simplify right side
    2,782.89x = 6,663,209.45
  5. Step 5: Solve for x
    x = 6,663,209.45/2,782.89
  6. Step 6: Final answer
    x = 2,394.35

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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.