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Finding the Fourth Proportional to 1,536.46, 2,121.04 and 906.80

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Solution

The fourth proportional to 1,536.46, 2,121.04 and 906.80 is: 1,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.46 : 2,121.04 = 906.80 : x
  2. Step 2: Convert to fraction form
    1,536.46/2,121.04 = 906.80/x
  3. Step 3: Cross multiply
    1,536.46x = 2,121.04 × 906.80
  4. Step 4: Simplify right side
    1,536.46x = 1,923,359.07
  5. Step 5: Solve for x
    x = 1,923,359.07/1,536.46
  6. Step 6: Final answer
    x = 1,251.81

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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.