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Finding the Fourth Proportional to 5,199, 7,798.76 and 1,736.52

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Solution

The fourth proportional to 5,199, 7,798.76 and 1,736.52 is: 2,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199 : 7,798.76 = 1,736.52 : x
  2. Step 2: Convert to fraction form
    5,199/7,798.76 = 1,736.52/x
  3. Step 3: Cross multiply
    5,199x = 7,798.76 × 1,736.52
  4. Step 4: Simplify right side
    5,199x = 13,542,702.72
  5. Step 5: Solve for x
    x = 13,542,702.72/5,199
  6. Step 6: Final answer
    x = 2,604.87

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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.