Home / 1,486.20-2,050.97-823.06

Finding the Fourth Proportional to 1,486.20, 2,050.97 and 823.06

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Solution

The fourth proportional to 1,486.20, 2,050.97 and 823.06 is: 1,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.20 : 2,050.97 = 823.06 : x
  2. Step 2: Convert to fraction form
    1,486.20/2,050.97 = 823.06/x
  3. Step 3: Cross multiply
    1,486.20x = 2,050.97 × 823.06
  4. Step 4: Simplify right side
    1,486.20x = 1,688,074.45
  5. Step 5: Solve for x
    x = 1,688,074.45/1,486.20
  6. Step 6: Final answer
    x = 1,135.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.