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Finding the Fourth Proportional to 7,259.56, 10,890 and 2,579.10

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Solution

The fourth proportional to 7,259.56, 10,890 and 2,579.10 is: 3,868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.56 : 10,890 = 2,579.10 : x
  2. Step 2: Convert to fraction form
    7,259.56/10,890 = 2,579.10/x
  3. Step 3: Cross multiply
    7,259.56x = 10,890 × 2,579.10
  4. Step 4: Simplify right side
    7,259.56x = 28,086,399
  5. Step 5: Solve for x
    x = 28,086,399/7,259.56
  6. Step 6: Final answer
    x = 3,868.88

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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.