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Finding the Fourth Proportional to 1,638.01, 2,456.78 and 857.75

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Solution

The fourth proportional to 1,638.01, 2,456.78 and 857.75 is: 1,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.01 : 2,456.78 = 857.75 : x
  2. Step 2: Convert to fraction form
    1,638.01/2,456.78 = 857.75/x
  3. Step 3: Cross multiply
    1,638.01x = 2,456.78 × 857.75
  4. Step 4: Simplify right side
    1,638.01x = 2,107,303.05
  5. Step 5: Solve for x
    x = 2,107,303.05/1,638.01
  6. Step 6: Final answer
    x = 1,286.50

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1.5x scale

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.