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Finding the Fourth Proportional to 3,914.42, 5,871.62 and 992.74

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Solution

The fourth proportional to 3,914.42, 5,871.62 and 992.74 is: 1,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.42 : 5,871.62 = 992.74 : x
  2. Step 2: Convert to fraction form
    3,914.42/5,871.62 = 992.74/x
  3. Step 3: Cross multiply
    3,914.42x = 5,871.62 × 992.74
  4. Step 4: Simplify right side
    3,914.42x = 5,828,965.16
  5. Step 5: Solve for x
    x = 5,828,965.16/3,914.42
  6. Step 6: Final answer
    x = 1,489.10

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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.