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Finding the Fourth Proportional to 1,384.63, 2,074.51 and 1,233.97

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Solution

The fourth proportional to 1,384.63, 2,074.51 and 1,233.97 is: 1,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.63 : 2,074.51 = 1,233.97 : x
  2. Step 2: Convert to fraction form
    1,384.63/2,074.51 = 1,233.97/x
  3. Step 3: Cross multiply
    1,384.63x = 2,074.51 × 1,233.97
  4. Step 4: Simplify right side
    1,384.63x = 2,559,883.10
  5. Step 5: Solve for x
    x = 2,559,883.10/1,384.63
  6. Step 6: Final answer
    x = 1,848.78

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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.