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Finding the Fourth Proportional to 2,144.16, 3,216.24 and 1,956.24

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Solution

The fourth proportional to 2,144.16, 3,216.24 and 1,956.24 is: 2,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.16 : 3,216.24 = 1,956.24 : x
  2. Step 2: Convert to fraction form
    2,144.16/3,216.24 = 1,956.24/x
  3. Step 3: Cross multiply
    2,144.16x = 3,216.24 × 1,956.24
  4. Step 4: Simplify right side
    2,144.16x = 6,291,737.34
  5. Step 5: Solve for x
    x = 6,291,737.34/2,144.16
  6. Step 6: Final answer
    x = 2,934.36

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Double scale
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Similar ratio
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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.