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Finding the Fourth Proportional to 1,384.64, 1,911.02 and 825.18

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Solution

The fourth proportional to 1,384.64, 1,911.02 and 825.18 is: 1,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.64 : 1,911.02 = 825.18 : x
  2. Step 2: Convert to fraction form
    1,384.64/1,911.02 = 825.18/x
  3. Step 3: Cross multiply
    1,384.64x = 1,911.02 × 825.18
  4. Step 4: Simplify right side
    1,384.64x = 1,576,935.48
  5. Step 5: Solve for x
    x = 1,576,935.48/1,384.64
  6. Step 6: Final answer
    x = 1,138.88

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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.