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Finding the Fourth Proportional to 3,748, 5,172.48 and 2,092

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Solution

The fourth proportional to 3,748, 5,172.48 and 2,092 is: 2,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748 : 5,172.48 = 2,092 : x
  2. Step 2: Convert to fraction form
    3,748/5,172.48 = 2,092/x
  3. Step 3: Cross multiply
    3,748x = 5,172.48 × 2,092
  4. Step 4: Simplify right side
    3,748x = 10,820,828.16
  5. Step 5: Solve for x
    x = 10,820,828.16/3,748
  6. Step 6: Final answer
    x = 2,887.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.