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Finding the Fourth Proportional to 5,223.68, 7,835.52 and 2,103.92

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Solution

The fourth proportional to 5,223.68, 7,835.52 and 2,103.92 is: 3,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.68 : 7,835.52 = 2,103.92 : x
  2. Step 2: Convert to fraction form
    5,223.68/7,835.52 = 2,103.92/x
  3. Step 3: Cross multiply
    5,223.68x = 7,835.52 × 2,103.92
  4. Step 4: Simplify right side
    5,223.68x = 16,485,307.24
  5. Step 5: Solve for x
    x = 16,485,307.24/5,223.68
  6. Step 6: Final answer
    x = 3,155.88

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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.