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Finding the Fourth Proportional to 2,023.50, 2,792 and 1,184.17

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Solution

The fourth proportional to 2,023.50, 2,792 and 1,184.17 is: 1,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.50 : 2,792 = 1,184.17 : x
  2. Step 2: Convert to fraction form
    2,023.50/2,792 = 1,184.17/x
  3. Step 3: Cross multiply
    2,023.50x = 2,792 × 1,184.17
  4. Step 4: Simplify right side
    2,023.50x = 3,306,202.64
  5. Step 5: Solve for x
    x = 3,306,202.64/2,023.50
  6. Step 6: Final answer
    x = 1,633.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.