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Finding the Fourth Proportional to 1,839, 2,758.14 and 1,215.72

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Solution

The fourth proportional to 1,839, 2,758.14 and 1,215.72 is: 1,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839 : 2,758.14 = 1,215.72 : x
  2. Step 2: Convert to fraction form
    1,839/2,758.14 = 1,215.72/x
  3. Step 3: Cross multiply
    1,839x = 2,758.14 × 1,215.72
  4. Step 4: Simplify right side
    1,839x = 3,353,125.96
  5. Step 5: Solve for x
    x = 3,353,125.96/1,839
  6. Step 6: Final answer
    x = 1,823.34

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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.