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Finding the Fourth Proportional to 2,649.48, 3,954.78 and 2,454

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Solution

The fourth proportional to 2,649.48, 3,954.78 and 2,454 is: 3,662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.48 : 3,954.78 = 2,454 : x
  2. Step 2: Convert to fraction form
    2,649.48/3,954.78 = 2,454/x
  3. Step 3: Cross multiply
    2,649.48x = 3,954.78 × 2,454
  4. Step 4: Simplify right side
    2,649.48x = 9,705,030.12
  5. Step 5: Solve for x
    x = 9,705,030.12/2,649.48
  6. Step 6: Final answer
    x = 3,662.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.