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Finding the Fourth Proportional to 1,486, 2,226.84 and 835.84

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Solution

The fourth proportional to 1,486, 2,226.84 and 835.84 is: 1,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486 : 2,226.84 = 835.84 : x
  2. Step 2: Convert to fraction form
    1,486/2,226.84 = 835.84/x
  3. Step 3: Cross multiply
    1,486x = 2,226.84 × 835.84
  4. Step 4: Simplify right side
    1,486x = 1,861,281.95
  5. Step 5: Solve for x
    x = 1,861,281.95/1,486
  6. Step 6: Final answer
    x = 1,252.55

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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.