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Finding the Fourth Proportional to 3,468.70, 5,203 and 871.62

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Solution

The fourth proportional to 3,468.70, 5,203 and 871.62 is: 1,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.70 : 5,203 = 871.62 : x
  2. Step 2: Convert to fraction form
    3,468.70/5,203 = 871.62/x
  3. Step 3: Cross multiply
    3,468.70x = 5,203 × 871.62
  4. Step 4: Simplify right side
    3,468.70x = 4,535,038.86
  5. Step 5: Solve for x
    x = 4,535,038.86/3,468.70
  6. Step 6: Final answer
    x = 1,307.42

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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.