Home / 1,587.49-2,382.14-857.05

Finding the Fourth Proportional to 1,587.49, 2,382.14 and 857.05

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Solution

The fourth proportional to 1,587.49, 2,382.14 and 857.05 is: 1,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.49 : 2,382.14 = 857.05 : x
  2. Step 2: Convert to fraction form
    1,587.49/2,382.14 = 857.05/x
  3. Step 3: Cross multiply
    1,587.49x = 2,382.14 × 857.05
  4. Step 4: Simplify right side
    1,587.49x = 2,041,617.97
  5. Step 5: Solve for x
    x = 2,041,617.97/1,587.49
  6. Step 6: Final answer
    x = 1,286.06

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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.