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Finding the Fourth Proportional to 2,282.78, 3,152.10 and 1,444.83

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Solution

The fourth proportional to 2,282.78, 3,152.10 and 1,444.83 is: 1,995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.78 : 3,152.10 = 1,444.83 : x
  2. Step 2: Convert to fraction form
    2,282.78/3,152.10 = 1,444.83/x
  3. Step 3: Cross multiply
    2,282.78x = 3,152.10 × 1,444.83
  4. Step 4: Simplify right side
    2,282.78x = 4,554,248.64
  5. Step 5: Solve for x
    x = 4,554,248.64/2,282.78
  6. Step 6: Final answer
    x = 1,995.05

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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.