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Finding the Fourth Proportional to 2,123, 3,184.68 and 584

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Solution

The fourth proportional to 2,123, 3,184.68 and 584 is: 876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123 : 3,184.68 = 584 : x
  2. Step 2: Convert to fraction form
    2,123/3,184.68 = 584/x
  3. Step 3: Cross multiply
    2,123x = 3,184.68 × 584
  4. Step 4: Simplify right side
    2,123x = 1,859,853.12
  5. Step 5: Solve for x
    x = 1,859,853.12/2,123
  6. Step 6: Final answer
    x = 876.05

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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.