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Finding the Fourth Proportional to 5,152.36, 7,729.11 and 1,641.55

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Solution

The fourth proportional to 5,152.36, 7,729.11 and 1,641.55 is: 2,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.36 : 7,729.11 = 1,641.55 : x
  2. Step 2: Convert to fraction form
    5,152.36/7,729.11 = 1,641.55/x
  3. Step 3: Cross multiply
    5,152.36x = 7,729.11 × 1,641.55
  4. Step 4: Simplify right side
    5,152.36x = 12,687,712.31
  5. Step 5: Solve for x
    x = 12,687,712.31/5,152.36
  6. Step 6: Final answer
    x = 2,462.51

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1.5x scale

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.