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Finding the Fourth Proportional to 5,217.26, 7,825.05 and 1,931.90

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Solution

The fourth proportional to 5,217.26, 7,825.05 and 1,931.90 is: 2,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.26 : 7,825.05 = 1,931.90 : x
  2. Step 2: Convert to fraction form
    5,217.26/7,825.05 = 1,931.90/x
  3. Step 3: Cross multiply
    5,217.26x = 7,825.05 × 1,931.90
  4. Step 4: Simplify right side
    5,217.26x = 15,117,214.10
  5. Step 5: Solve for x
    x = 15,117,214.10/5,217.26
  6. Step 6: Final answer
    x = 2,897.54

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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.