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Finding the Fourth Proportional to 1,612.95, 2,229.83 and 1,544.10

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Solution

The fourth proportional to 1,612.95, 2,229.83 and 1,544.10 is: 2,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.95 : 2,229.83 = 1,544.10 : x
  2. Step 2: Convert to fraction form
    1,612.95/2,229.83 = 1,544.10/x
  3. Step 3: Cross multiply
    1,612.95x = 2,229.83 × 1,544.10
  4. Step 4: Simplify right side
    1,612.95x = 3,443,080.50
  5. Step 5: Solve for x
    x = 3,443,080.50/1,612.95
  6. Step 6: Final answer
    x = 2,134.65

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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.