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Finding the Fourth Proportional to 2,689.67, 4,033.46 and 934.20

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Solution

The fourth proportional to 2,689.67, 4,033.46 and 934.20 is: 1,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.67 : 4,033.46 = 934.20 : x
  2. Step 2: Convert to fraction form
    2,689.67/4,033.46 = 934.20/x
  3. Step 3: Cross multiply
    2,689.67x = 4,033.46 × 934.20
  4. Step 4: Simplify right side
    2,689.67x = 3,768,060.67
  5. Step 5: Solve for x
    x = 3,768,060.67/2,689.67
  6. Step 6: Final answer
    x = 1,400.94

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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.