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Finding the Fourth Proportional to 2,486.58, 3,727.71 and 948.66

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Solution

The fourth proportional to 2,486.58, 3,727.71 and 948.66 is: 1,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.58 : 3,727.71 = 948.66 : x
  2. Step 2: Convert to fraction form
    2,486.58/3,727.71 = 948.66/x
  3. Step 3: Cross multiply
    2,486.58x = 3,727.71 × 948.66
  4. Step 4: Simplify right side
    2,486.58x = 3,536,329.37
  5. Step 5: Solve for x
    x = 3,536,329.37/2,486.58
  6. Step 6: Final answer
    x = 1,422.17

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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.