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Finding the Fourth Proportional to 9,725, 14,589.94 and 2,799.50

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Solution

The fourth proportional to 9,725, 14,589.94 and 2,799.50 is: 4,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725 : 14,589.94 = 2,799.50 : x
  2. Step 2: Convert to fraction form
    9,725/14,589.94 = 2,799.50/x
  3. Step 3: Cross multiply
    9,725x = 14,589.94 × 2,799.50
  4. Step 4: Simplify right side
    9,725x = 40,844,537.03
  5. Step 5: Solve for x
    x = 40,844,537.03/9,725
  6. Step 6: Final answer
    x = 4,199.95

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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.