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Finding the Fourth Proportional to 2,577.36, 3,882.48 and 2,321

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Solution

The fourth proportional to 2,577.36, 3,882.48 and 2,321 is: 3,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.36 : 3,882.48 = 2,321 : x
  2. Step 2: Convert to fraction form
    2,577.36/3,882.48 = 2,321/x
  3. Step 3: Cross multiply
    2,577.36x = 3,882.48 × 2,321
  4. Step 4: Simplify right side
    2,577.36x = 9,011,236.08
  5. Step 5: Solve for x
    x = 9,011,236.08/2,577.36
  6. Step 6: Final answer
    x = 3,496.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.