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Finding the Fourth Proportional to 3,874.47, 5,348 and 2,477.22

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Solution

The fourth proportional to 3,874.47, 5,348 and 2,477.22 is: 3,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.47 : 5,348 = 2,477.22 : x
  2. Step 2: Convert to fraction form
    3,874.47/5,348 = 2,477.22/x
  3. Step 3: Cross multiply
    3,874.47x = 5,348 × 2,477.22
  4. Step 4: Simplify right side
    3,874.47x = 13,248,172.56
  5. Step 5: Solve for x
    x = 13,248,172.56/3,874.47
  6. Step 6: Final answer
    x = 3,419.35

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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.