Home / 2,123.13-3,184.79-584.13

Finding the Fourth Proportional to 2,123.13, 3,184.79 and 584.13

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Solution

The fourth proportional to 2,123.13, 3,184.79 and 584.13 is: 876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.13 : 3,184.79 = 584.13 : x
  2. Step 2: Convert to fraction form
    2,123.13/3,184.79 = 584.13/x
  3. Step 3: Cross multiply
    2,123.13x = 3,184.79 × 584.13
  4. Step 4: Simplify right side
    2,123.13x = 1,860,331.38
  5. Step 5: Solve for x
    x = 1,860,331.38/2,123.13
  6. Step 6: Final answer
    x = 876.22

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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.