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Finding the Fourth Proportional to 2,659.68, 3,989.52 and 928.44

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Solution

The fourth proportional to 2,659.68, 3,989.52 and 928.44 is: 1,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.68 : 3,989.52 = 928.44 : x
  2. Step 2: Convert to fraction form
    2,659.68/3,989.52 = 928.44/x
  3. Step 3: Cross multiply
    2,659.68x = 3,989.52 × 928.44
  4. Step 4: Simplify right side
    2,659.68x = 3,704,029.95
  5. Step 5: Solve for x
    x = 3,704,029.95/2,659.68
  6. Step 6: Final answer
    x = 1,392.66

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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.