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Finding the Fourth Proportional to 1,384.84, 1,911.14 and 825.16

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Solution

The fourth proportional to 1,384.84, 1,911.14 and 825.16 is: 1,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.84 : 1,911.14 = 825.16 : x
  2. Step 2: Convert to fraction form
    1,384.84/1,911.14 = 825.16/x
  3. Step 3: Cross multiply
    1,384.84x = 1,911.14 × 825.16
  4. Step 4: Simplify right side
    1,384.84x = 1,576,996.28
  5. Step 5: Solve for x
    x = 1,576,996.28/1,384.84
  6. Step 6: Final answer
    x = 1,138.76

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1.5x scale

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.