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Finding the Fourth Proportional to 2,089.49, 3,135.63 and 857.12

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Solution

The fourth proportional to 2,089.49, 3,135.63 and 857.12 is: 1,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.49 : 3,135.63 = 857.12 : x
  2. Step 2: Convert to fraction form
    2,089.49/3,135.63 = 857.12/x
  3. Step 3: Cross multiply
    2,089.49x = 3,135.63 × 857.12
  4. Step 4: Simplify right side
    2,089.49x = 2,687,595.51
  5. Step 5: Solve for x
    x = 2,687,595.51/2,089.49
  6. Step 6: Final answer
    x = 1,286.25

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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.