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Finding the Fourth Proportional to 2,486.90, 3,729.08 and 926.84

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Solution

The fourth proportional to 2,486.90, 3,729.08 and 926.84 is: 1,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.90 : 3,729.08 = 926.84 : x
  2. Step 2: Convert to fraction form
    2,486.90/3,729.08 = 926.84/x
  3. Step 3: Cross multiply
    2,486.90x = 3,729.08 × 926.84
  4. Step 4: Simplify right side
    2,486.90x = 3,456,260.51
  5. Step 5: Solve for x
    x = 3,456,260.51/2,486.90
  6. Step 6: Final answer
    x = 1,389.79

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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.