Home / 2,123.28-3,184.44-584.40

Finding the Fourth Proportional to 2,123.28, 3,184.44 and 584.40

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Solution

The fourth proportional to 2,123.28, 3,184.44 and 584.40 is: 876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.28 : 3,184.44 = 584.40 : x
  2. Step 2: Convert to fraction form
    2,123.28/3,184.44 = 584.40/x
  3. Step 3: Cross multiply
    2,123.28x = 3,184.44 × 584.40
  4. Step 4: Simplify right side
    2,123.28x = 1,860,986.74
  5. Step 5: Solve for x
    x = 1,860,986.74/2,123.28
  6. Step 6: Final answer
    x = 876.47

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