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Finding the Fourth Proportional to 3,559.50, 5,340.06 and 1,251

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Solution

The fourth proportional to 3,559.50, 5,340.06 and 1,251 is: 1,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.50 : 5,340.06 = 1,251 : x
  2. Step 2: Convert to fraction form
    3,559.50/5,340.06 = 1,251/x
  3. Step 3: Cross multiply
    3,559.50x = 5,340.06 × 1,251
  4. Step 4: Simplify right side
    3,559.50x = 6,680,415.06
  5. Step 5: Solve for x
    x = 6,680,415.06/3,559.50
  6. Step 6: Final answer
    x = 1,876.78

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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.