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Finding the Fourth Proportional to 1,536.39, 2,120.39 and 946.92

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Solution

The fourth proportional to 1,536.39, 2,120.39 and 946.92 is: 1,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.39 : 2,120.39 = 946.92 : x
  2. Step 2: Convert to fraction form
    1,536.39/2,120.39 = 946.92/x
  3. Step 3: Cross multiply
    1,536.39x = 2,120.39 × 946.92
  4. Step 4: Simplify right side
    1,536.39x = 2,007,834.96
  5. Step 5: Solve for x
    x = 2,007,834.96/1,536.39
  6. Step 6: Final answer
    x = 1,306.85

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Double scale
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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.