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Finding the Fourth Proportional to 1,585.84, 2,188.44 and 923.08

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Solution

The fourth proportional to 1,585.84, 2,188.44 and 923.08 is: 1,273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.84 : 2,188.44 = 923.08 : x
  2. Step 2: Convert to fraction form
    1,585.84/2,188.44 = 923.08/x
  3. Step 3: Cross multiply
    1,585.84x = 2,188.44 × 923.08
  4. Step 4: Simplify right side
    1,585.84x = 2,020,105.20
  5. Step 5: Solve for x
    x = 2,020,105.20/1,585.84
  6. Step 6: Final answer
    x = 1,273.84

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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.