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Finding the Fourth Proportional to 1,584, 2,185.92 and 885.39

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Solution

The fourth proportional to 1,584, 2,185.92 and 885.39 is: 1,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584 : 2,185.92 = 885.39 : x
  2. Step 2: Convert to fraction form
    1,584/2,185.92 = 885.39/x
  3. Step 3: Cross multiply
    1,584x = 2,185.92 × 885.39
  4. Step 4: Simplify right side
    1,584x = 1,935,391.71
  5. Step 5: Solve for x
    x = 1,935,391.71/1,584
  6. Step 6: Final answer
    x = 1,221.84

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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.