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Finding the Fourth Proportional to 2,123.36, 3,184.68 and 584

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Solution

The fourth proportional to 2,123.36, 3,184.68 and 584 is: 875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.36 : 3,184.68 = 584 : x
  2. Step 2: Convert to fraction form
    2,123.36/3,184.68 = 584/x
  3. Step 3: Cross multiply
    2,123.36x = 3,184.68 × 584
  4. Step 4: Simplify right side
    2,123.36x = 1,859,853.12
  5. Step 5: Solve for x
    x = 1,859,853.12/2,123.36
  6. Step 6: Final answer
    x = 875.90

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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.