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Finding the Fourth Proportional to 7,569.57, 11,356.25 and 2,639.25

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Solution

The fourth proportional to 7,569.57, 11,356.25 and 2,639.25 is: 3,959.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.57 : 11,356.25 = 2,639.25 : x
  2. Step 2: Convert to fraction form
    7,569.57/11,356.25 = 2,639.25/x
  3. Step 3: Cross multiply
    7,569.57x = 11,356.25 × 2,639.25
  4. Step 4: Simplify right side
    7,569.57x = 29,971,969.62
  5. Step 5: Solve for x
    x = 29,971,969.62/7,569.57
  6. Step 6: Final answer
    x = 3,959.53

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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.