Home / 1,586.36-2,189.15-923.17

Finding the Fourth Proportional to 1,586.36, 2,189.15 and 923.17

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Solution

The fourth proportional to 1,586.36, 2,189.15 and 923.17 is: 1,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.36 : 2,189.15 = 923.17 : x
  2. Step 2: Convert to fraction form
    1,586.36/2,189.15 = 923.17/x
  3. Step 3: Cross multiply
    1,586.36x = 2,189.15 × 923.17
  4. Step 4: Simplify right side
    1,586.36x = 2,020,957.61
  5. Step 5: Solve for x
    x = 2,020,957.61/1,586.36
  6. Step 6: Final answer
    x = 1,273.96

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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.