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Finding the Fourth Proportional to 5,200.86, 7,801.05 and 1,913.73

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Solution

The fourth proportional to 5,200.86, 7,801.05 and 1,913.73 is: 2,870.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.86 : 7,801.05 = 1,913.73 : x
  2. Step 2: Convert to fraction form
    5,200.86/7,801.05 = 1,913.73/x
  3. Step 3: Cross multiply
    5,200.86x = 7,801.05 × 1,913.73
  4. Step 4: Simplify right side
    5,200.86x = 14,929,103.42
  5. Step 5: Solve for x
    x = 14,929,103.42/5,200.86
  6. Step 6: Final answer
    x = 2,870.51

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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.