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Finding the Fourth Proportional to 3,851.34, 5,315.22 and 2,454

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Solution

The fourth proportional to 3,851.34, 5,315.22 and 2,454 is: 3,386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.34 : 5,315.22 = 2,454 : x
  2. Step 2: Convert to fraction form
    3,851.34/5,315.22 = 2,454/x
  3. Step 3: Cross multiply
    3,851.34x = 5,315.22 × 2,454
  4. Step 4: Simplify right side
    3,851.34x = 13,043,549.88
  5. Step 5: Solve for x
    x = 13,043,549.88/3,851.34
  6. Step 6: Final answer
    x = 3,386.76

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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.