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Finding the Fourth Proportional to 1,107.12, 1,528.50 and 827.04

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Solution

The fourth proportional to 1,107.12, 1,528.50 and 827.04 is: 1,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.12 : 1,528.50 = 827.04 : x
  2. Step 2: Convert to fraction form
    1,107.12/1,528.50 = 827.04/x
  3. Step 3: Cross multiply
    1,107.12x = 1,528.50 × 827.04
  4. Step 4: Simplify right side
    1,107.12x = 1,264,130.64
  5. Step 5: Solve for x
    x = 1,264,130.64/1,107.12
  6. Step 6: Final answer
    x = 1,141.82

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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.