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Finding the Fourth Proportional to 2,792.69, 4,189.75 and 1,972.57

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Solution

The fourth proportional to 2,792.69, 4,189.75 and 1,972.57 is: 2,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.69 : 4,189.75 = 1,972.57 : x
  2. Step 2: Convert to fraction form
    2,792.69/4,189.75 = 1,972.57/x
  3. Step 3: Cross multiply
    2,792.69x = 4,189.75 × 1,972.57
  4. Step 4: Simplify right side
    2,792.69x = 8,264,575.16
  5. Step 5: Solve for x
    x = 8,264,575.16/2,792.69
  6. Step 6: Final answer
    x = 2,959.36

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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.