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Finding the Fourth Proportional to 7,259.88, 10,890.24 and 3,565.20

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Solution

The fourth proportional to 7,259.88, 10,890.24 and 3,565.20 is: 5,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.88 : 10,890.24 = 3,565.20 : x
  2. Step 2: Convert to fraction form
    7,259.88/10,890.24 = 3,565.20/x
  3. Step 3: Cross multiply
    7,259.88x = 10,890.24 × 3,565.20
  4. Step 4: Simplify right side
    7,259.88x = 38,825,883.65
  5. Step 5: Solve for x
    x = 38,825,883.65/7,259.88
  6. Step 6: Final answer
    x = 5,348.01

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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.