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Finding the Fourth Proportional to 5,211.90, 7,810.92 and 1,921.95

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Solution

The fourth proportional to 5,211.90, 7,810.92 and 1,921.95 is: 2,880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.90 : 7,810.92 = 1,921.95 : x
  2. Step 2: Convert to fraction form
    5,211.90/7,810.92 = 1,921.95/x
  3. Step 3: Cross multiply
    5,211.90x = 7,810.92 × 1,921.95
  4. Step 4: Simplify right side
    5,211.90x = 15,012,197.69
  5. Step 5: Solve for x
    x = 15,012,197.69/5,211.90
  6. Step 6: Final answer
    x = 2,880.37

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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.