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Finding the Fourth Proportional to 2,123.68, 3,185.16 and 584.68

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Solution

The fourth proportional to 2,123.68, 3,185.16 and 584.68 is: 876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.68 : 3,185.16 = 584.68 : x
  2. Step 2: Convert to fraction form
    2,123.68/3,185.16 = 584.68/x
  3. Step 3: Cross multiply
    2,123.68x = 3,185.16 × 584.68
  4. Step 4: Simplify right side
    2,123.68x = 1,862,299.35
  5. Step 5: Solve for x
    x = 1,862,299.35/2,123.68
  6. Step 6: Final answer
    x = 876.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.