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Finding the Fourth Proportional to 2,486.81, 3,726.86 and 946.97

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Solution

The fourth proportional to 2,486.81, 3,726.86 and 946.97 is: 1,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.81 : 3,726.86 = 946.97 : x
  2. Step 2: Convert to fraction form
    2,486.81/3,726.86 = 946.97/x
  3. Step 3: Cross multiply
    2,486.81x = 3,726.86 × 946.97
  4. Step 4: Simplify right side
    2,486.81x = 3,529,219.88
  5. Step 5: Solve for x
    x = 3,529,219.88/2,486.81
  6. Step 6: Final answer
    x = 1,419.18

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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.