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Finding the Fourth Proportional to 1,384.10, 2,076.11 and 562.13

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Solution

The fourth proportional to 1,384.10, 2,076.11 and 562.13 is: 843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.10 : 2,076.11 = 562.13 : x
  2. Step 2: Convert to fraction form
    1,384.10/2,076.11 = 562.13/x
  3. Step 3: Cross multiply
    1,384.10x = 2,076.11 × 562.13
  4. Step 4: Simplify right side
    1,384.10x = 1,167,040.90
  5. Step 5: Solve for x
    x = 1,167,040.90/1,384.10
  6. Step 6: Final answer
    x = 843.18

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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.