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Finding the Fourth Proportional to 3,442.65, 4,750.80 and 1,950.57

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Solution

The fourth proportional to 3,442.65, 4,750.80 and 1,950.57 is: 2,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.65 : 4,750.80 = 1,950.57 : x
  2. Step 2: Convert to fraction form
    3,442.65/4,750.80 = 1,950.57/x
  3. Step 3: Cross multiply
    3,442.65x = 4,750.80 × 1,950.57
  4. Step 4: Simplify right side
    3,442.65x = 9,266,767.96
  5. Step 5: Solve for x
    x = 9,266,767.96/3,442.65
  6. Step 6: Final answer
    x = 2,691.75

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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.