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Finding the Fourth Proportional to 5,478.74, 8,213.30 and 2,844.77

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Solution

The fourth proportional to 5,478.74, 8,213.30 and 2,844.77 is: 4,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.74 : 8,213.30 = 2,844.77 : x
  2. Step 2: Convert to fraction form
    5,478.74/8,213.30 = 2,844.77/x
  3. Step 3: Cross multiply
    5,478.74x = 8,213.30 × 2,844.77
  4. Step 4: Simplify right side
    5,478.74x = 23,364,951.02
  5. Step 5: Solve for x
    x = 23,364,951.02/5,478.74
  6. Step 6: Final answer
    x = 4,264.66

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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.