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Finding the Fourth Proportional to 2,827.12, 3,903.96 and 1,834

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Solution

The fourth proportional to 2,827.12, 3,903.96 and 1,834 is: 2,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.12 : 3,903.96 = 1,834 : x
  2. Step 2: Convert to fraction form
    2,827.12/3,903.96 = 1,834/x
  3. Step 3: Cross multiply
    2,827.12x = 3,903.96 × 1,834
  4. Step 4: Simplify right side
    2,827.12x = 7,159,862.64
  5. Step 5: Solve for x
    x = 7,159,862.64/2,827.12
  6. Step 6: Final answer
    x = 2,532.56

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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.