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Finding the Fourth Proportional to 7,240, 10,860.46 and 2,046.28

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Solution

The fourth proportional to 7,240, 10,860.46 and 2,046.28 is: 3,069.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240 : 10,860.46 = 2,046.28 : x
  2. Step 2: Convert to fraction form
    7,240/10,860.46 = 2,046.28/x
  3. Step 3: Cross multiply
    7,240x = 10,860.46 × 2,046.28
  4. Step 4: Simplify right side
    7,240x = 22,223,542.09
  5. Step 5: Solve for x
    x = 22,223,542.09/7,240
  6. Step 6: Final answer
    x = 3,069.55

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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.