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Finding the Fourth Proportional to 1,384.84, 2,076.42 and 865.66

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Solution

The fourth proportional to 1,384.84, 2,076.42 and 865.66 is: 1,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.84 : 2,076.42 = 865.66 : x
  2. Step 2: Convert to fraction form
    1,384.84/2,076.42 = 865.66/x
  3. Step 3: Cross multiply
    1,384.84x = 2,076.42 × 865.66
  4. Step 4: Simplify right side
    1,384.84x = 1,797,473.74
  5. Step 5: Solve for x
    x = 1,797,473.74/1,384.84
  6. Step 6: Final answer
    x = 1,297.96

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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.