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Finding the Fourth Proportional to 2,015.12, 2,781.12 and 1,229.16

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Solution

The fourth proportional to 2,015.12, 2,781.12 and 1,229.16 is: 1,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.12 : 2,781.12 = 1,229.16 : x
  2. Step 2: Convert to fraction form
    2,015.12/2,781.12 = 1,229.16/x
  3. Step 3: Cross multiply
    2,015.12x = 2,781.12 × 1,229.16
  4. Step 4: Simplify right side
    2,015.12x = 3,418,441.46
  5. Step 5: Solve for x
    x = 3,418,441.46/2,015.12
  6. Step 6: Final answer
    x = 1,696.40

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Half scale
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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.