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Finding the Fourth Proportional to 2,883.04, 3,978 and 1,834.72

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Solution

The fourth proportional to 2,883.04, 3,978 and 1,834.72 is: 2,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.04 : 3,978 = 1,834.72 : x
  2. Step 2: Convert to fraction form
    2,883.04/3,978 = 1,834.72/x
  3. Step 3: Cross multiply
    2,883.04x = 3,978 × 1,834.72
  4. Step 4: Simplify right side
    2,883.04x = 7,298,516.16
  5. Step 5: Solve for x
    x = 7,298,516.16/2,883.04
  6. Step 6: Final answer
    x = 2,531.53

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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.