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Finding the Fourth Proportional to 5,152.83, 7,729.84 and 1,641.60

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Solution

The fourth proportional to 5,152.83, 7,729.84 and 1,641.60 is: 2,462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.83 : 7,729.84 = 1,641.60 : x
  2. Step 2: Convert to fraction form
    5,152.83/7,729.84 = 1,641.60/x
  3. Step 3: Cross multiply
    5,152.83x = 7,729.84 × 1,641.60
  4. Step 4: Simplify right side
    5,152.83x = 12,689,305.34
  5. Step 5: Solve for x
    x = 12,689,305.34/5,152.83
  6. Step 6: Final answer
    x = 2,462.59

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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.