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Finding the Fourth Proportional to 2,689.89, 4,034.43 and 2,148.54

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Solution

The fourth proportional to 2,689.89, 4,034.43 and 2,148.54 is: 3,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.89 : 4,034.43 = 2,148.54 : x
  2. Step 2: Convert to fraction form
    2,689.89/4,034.43 = 2,148.54/x
  3. Step 3: Cross multiply
    2,689.89x = 4,034.43 × 2,148.54
  4. Step 4: Simplify right side
    2,689.89x = 8,668,134.23
  5. Step 5: Solve for x
    x = 8,668,134.23/2,689.89
  6. Step 6: Final answer
    x = 3,222.49

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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.