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Finding the Fourth Proportional to 3,415.95, 5,123.63 and 950.61

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Solution

The fourth proportional to 3,415.95, 5,123.63 and 950.61 is: 1,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.95 : 5,123.63 = 950.61 : x
  2. Step 2: Convert to fraction form
    3,415.95/5,123.63 = 950.61/x
  3. Step 3: Cross multiply
    3,415.95x = 5,123.63 × 950.61
  4. Step 4: Simplify right side
    3,415.95x = 4,870,569.16
  5. Step 5: Solve for x
    x = 4,870,569.16/3,415.95
  6. Step 6: Final answer
    x = 1,425.83

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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.