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Finding the Fourth Proportional to 2,969.97, 4,451.30 and 2,605.47

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Solution

The fourth proportional to 2,969.97, 4,451.30 and 2,605.47 is: 3,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.97 : 4,451.30 = 2,605.47 : x
  2. Step 2: Convert to fraction form
    2,969.97/4,451.30 = 2,605.47/x
  3. Step 3: Cross multiply
    2,969.97x = 4,451.30 × 2,605.47
  4. Step 4: Simplify right side
    2,969.97x = 11,597,728.61
  5. Step 5: Solve for x
    x = 11,597,728.61/2,969.97
  6. Step 6: Final answer
    x = 3,905.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.