Home / 2,281.08-3,419.62-800.06

Finding the Fourth Proportional to 2,281.08, 3,419.62 and 800.06

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Solution

The fourth proportional to 2,281.08, 3,419.62 and 800.06 is: 1,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.08 : 3,419.62 = 800.06 : x
  2. Step 2: Convert to fraction form
    2,281.08/3,419.62 = 800.06/x
  3. Step 3: Cross multiply
    2,281.08x = 3,419.62 × 800.06
  4. Step 4: Simplify right side
    2,281.08x = 2,735,897.18
  5. Step 5: Solve for x
    x = 2,735,897.18/2,281.08
  6. Step 6: Final answer
    x = 1,199.39

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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.