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Finding the Fourth Proportional to 3,659.28, 5,488.86 and 923.28

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Solution

The fourth proportional to 3,659.28, 5,488.86 and 923.28 is: 1,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.28 : 5,488.86 = 923.28 : x
  2. Step 2: Convert to fraction form
    3,659.28/5,488.86 = 923.28/x
  3. Step 3: Cross multiply
    3,659.28x = 5,488.86 × 923.28
  4. Step 4: Simplify right side
    3,659.28x = 5,067,754.66
  5. Step 5: Solve for x
    x = 5,067,754.66/3,659.28
  6. Step 6: Final answer
    x = 1,384.90

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1.5x scale

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.