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Finding the Fourth Proportional to 2,846.19, 4,269.35 and 871.86

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Solution

The fourth proportional to 2,846.19, 4,269.35 and 871.86 is: 1,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.19 : 4,269.35 = 871.86 : x
  2. Step 2: Convert to fraction form
    2,846.19/4,269.35 = 871.86/x
  3. Step 3: Cross multiply
    2,846.19x = 4,269.35 × 871.86
  4. Step 4: Simplify right side
    2,846.19x = 3,722,275.49
  5. Step 5: Solve for x
    x = 3,722,275.49/2,846.19
  6. Step 6: Final answer
    x = 1,307.81

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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.