Home / 1,585.91-2,188.52-923.13

Finding the Fourth Proportional to 1,585.91, 2,188.52 and 923.13

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Solution

The fourth proportional to 1,585.91, 2,188.52 and 923.13 is: 1,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.91 : 2,188.52 = 923.13 : x
  2. Step 2: Convert to fraction form
    1,585.91/2,188.52 = 923.13/x
  3. Step 3: Cross multiply
    1,585.91x = 2,188.52 × 923.13
  4. Step 4: Simplify right side
    1,585.91x = 2,020,287.31
  5. Step 5: Solve for x
    x = 2,020,287.31/1,585.91
  6. Step 6: Final answer
    x = 1,273.90

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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.