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Finding the Fourth Proportional to 2,489.77, 3,734.54 and 846.35

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Solution

The fourth proportional to 2,489.77, 3,734.54 and 846.35 is: 1,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.77 : 3,734.54 = 846.35 : x
  2. Step 2: Convert to fraction form
    2,489.77/3,734.54 = 846.35/x
  3. Step 3: Cross multiply
    2,489.77x = 3,734.54 × 846.35
  4. Step 4: Simplify right side
    2,489.77x = 3,160,722.20
  5. Step 5: Solve for x
    x = 3,160,722.20/2,489.77
  6. Step 6: Final answer
    x = 1,269.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.