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Finding the Fourth Proportional to 3,211.29, 4,816.53 and 871.47

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Solution

The fourth proportional to 3,211.29, 4,816.53 and 871.47 is: 1,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.29 : 4,816.53 = 871.47 : x
  2. Step 2: Convert to fraction form
    3,211.29/4,816.53 = 871.47/x
  3. Step 3: Cross multiply
    3,211.29x = 4,816.53 × 871.47
  4. Step 4: Simplify right side
    3,211.29x = 4,197,461.40
  5. Step 5: Solve for x
    x = 4,197,461.40/3,211.29
  6. Step 6: Final answer
    x = 1,307.10

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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.