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Finding the Fourth Proportional to 2,123.20, 3,184.56 and 584

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Solution

The fourth proportional to 2,123.20, 3,184.56 and 584 is: 875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.20 : 3,184.56 = 584 : x
  2. Step 2: Convert to fraction form
    2,123.20/3,184.56 = 584/x
  3. Step 3: Cross multiply
    2,123.20x = 3,184.56 × 584
  4. Step 4: Simplify right side
    2,123.20x = 1,859,783.04
  5. Step 5: Solve for x
    x = 1,859,783.04/2,123.20
  6. Step 6: Final answer
    x = 875.93

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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.