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Finding the Fourth Proportional to 2,281.80, 3,419.46 and 893.64

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Solution

The fourth proportional to 2,281.80, 3,419.46 and 893.64 is: 1,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.80 : 3,419.46 = 893.64 : x
  2. Step 2: Convert to fraction form
    2,281.80/3,419.46 = 893.64/x
  3. Step 3: Cross multiply
    2,281.80x = 3,419.46 × 893.64
  4. Step 4: Simplify right side
    2,281.80x = 3,055,766.23
  5. Step 5: Solve for x
    x = 3,055,766.23/2,281.80
  6. Step 6: Final answer
    x = 1,339.19

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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.