Home / 1,585.98-2,188.57-923.05

Finding the Fourth Proportional to 1,585.98, 2,188.57 and 923.05

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Solution

The fourth proportional to 1,585.98, 2,188.57 and 923.05 is: 1,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.98 : 2,188.57 = 923.05 : x
  2. Step 2: Convert to fraction form
    1,585.98/2,188.57 = 923.05/x
  3. Step 3: Cross multiply
    1,585.98x = 2,188.57 × 923.05
  4. Step 4: Simplify right side
    1,585.98x = 2,020,149.39
  5. Step 5: Solve for x
    x = 2,020,149.39/1,585.98
  6. Step 6: Final answer
    x = 1,273.75

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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.