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Finding the Fourth Proportional to 6,399, 9,599.58 and 2,702.97

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Solution

The fourth proportional to 6,399, 9,599.58 and 2,702.97 is: 4,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399 : 9,599.58 = 2,702.97 : x
  2. Step 2: Convert to fraction form
    6,399/9,599.58 = 2,702.97/x
  3. Step 3: Cross multiply
    6,399x = 9,599.58 × 2,702.97
  4. Step 4: Simplify right side
    6,399x = 25,947,376.75
  5. Step 5: Solve for x
    x = 25,947,376.75/6,399
  6. Step 6: Final answer
    x = 4,054.91

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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.