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Finding the Fourth Proportional to 2,642.90, 3,650.77 and 2,456.10

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Solution

The fourth proportional to 2,642.90, 3,650.77 and 2,456.10 is: 3,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.90 : 3,650.77 = 2,456.10 : x
  2. Step 2: Convert to fraction form
    2,642.90/3,650.77 = 2,456.10/x
  3. Step 3: Cross multiply
    2,642.90x = 3,650.77 × 2,456.10
  4. Step 4: Simplify right side
    2,642.90x = 8,966,649.00
  5. Step 5: Solve for x
    x = 8,966,649.00/2,642.90
  6. Step 6: Final answer
    x = 3,392.73

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