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Finding the Fourth Proportional to 5,257.78, 7,888.97 and 2,792.01

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Solution

The fourth proportional to 5,257.78, 7,888.97 and 2,792.01 is: 4,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.78 : 7,888.97 = 2,792.01 : x
  2. Step 2: Convert to fraction form
    5,257.78/7,888.97 = 2,792.01/x
  3. Step 3: Cross multiply
    5,257.78x = 7,888.97 × 2,792.01
  4. Step 4: Simplify right side
    5,257.78x = 22,026,083.13
  5. Step 5: Solve for x
    x = 22,026,083.13/5,257.78
  6. Step 6: Final answer
    x = 4,189.24

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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.