Home / 1,585.34-2,187.42-921.85

Finding the Fourth Proportional to 1,585.34, 2,187.42 and 921.85

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Solution

The fourth proportional to 1,585.34, 2,187.42 and 921.85 is: 1,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.34 : 2,187.42 = 921.85 : x
  2. Step 2: Convert to fraction form
    1,585.34/2,187.42 = 921.85/x
  3. Step 3: Cross multiply
    1,585.34x = 2,187.42 × 921.85
  4. Step 4: Simplify right side
    1,585.34x = 2,016,473.13
  5. Step 5: Solve for x
    x = 2,016,473.13/1,585.34
  6. Step 6: Final answer
    x = 1,271.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.