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Finding the Fourth Proportional to 2,169.90, 3,254.61 and 630.90

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Solution

The fourth proportional to 2,169.90, 3,254.61 and 630.90 is: 946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.90 : 3,254.61 = 630.90 : x
  2. Step 2: Convert to fraction form
    2,169.90/3,254.61 = 630.90/x
  3. Step 3: Cross multiply
    2,169.90x = 3,254.61 × 630.90
  4. Step 4: Simplify right side
    2,169.90x = 2,053,333.45
  5. Step 5: Solve for x
    x = 2,053,333.45/2,169.90
  6. Step 6: Final answer
    x = 946.28

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