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Finding the Fourth Proportional to 1,912.75, 2,864.50 and 1,088.52

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Solution

The fourth proportional to 1,912.75, 2,864.50 and 1,088.52 is: 1,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.75 : 2,864.50 = 1,088.52 : x
  2. Step 2: Convert to fraction form
    1,912.75/2,864.50 = 1,088.52/x
  3. Step 3: Cross multiply
    1,912.75x = 2,864.50 × 1,088.52
  4. Step 4: Simplify right side
    1,912.75x = 3,118,060.10
  5. Step 5: Solve for x
    x = 3,118,060.10/1,912.75
  6. Step 6: Final answer
    x = 1,630.15

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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.