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Finding the Fourth Proportional to 2,802.11, 4,202.69 and 854.19

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Solution

The fourth proportional to 2,802.11, 4,202.69 and 854.19 is: 1,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.11 : 4,202.69 = 854.19 : x
  2. Step 2: Convert to fraction form
    2,802.11/4,202.69 = 854.19/x
  3. Step 3: Cross multiply
    2,802.11x = 4,202.69 × 854.19
  4. Step 4: Simplify right side
    2,802.11x = 3,589,891.50
  5. Step 5: Solve for x
    x = 3,589,891.50/2,802.11
  6. Step 6: Final answer
    x = 1,281.14

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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.