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Finding the Fourth Proportional to 3,159.74, 4,738.16 and 968.63

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Solution

The fourth proportional to 3,159.74, 4,738.16 and 968.63 is: 1,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.74 : 4,738.16 = 968.63 : x
  2. Step 2: Convert to fraction form
    3,159.74/4,738.16 = 968.63/x
  3. Step 3: Cross multiply
    3,159.74x = 4,738.16 × 968.63
  4. Step 4: Simplify right side
    3,159.74x = 4,589,502.65
  5. Step 5: Solve for x
    x = 4,589,502.65/3,159.74
  6. Step 6: Final answer
    x = 1,452.49

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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.