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Finding the Fourth Proportional to 2,836.50, 4,254.75 and 888.75

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Solution

The fourth proportional to 2,836.50, 4,254.75 and 888.75 is: 1,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.50 : 4,254.75 = 888.75 : x
  2. Step 2: Convert to fraction form
    2,836.50/4,254.75 = 888.75/x
  3. Step 3: Cross multiply
    2,836.50x = 4,254.75 × 888.75
  4. Step 4: Simplify right side
    2,836.50x = 3,781,409.06
  5. Step 5: Solve for x
    x = 3,781,409.06/2,836.50
  6. Step 6: Final answer
    x = 1,333.13

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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.