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Finding the Fourth Proportional to 2,665.60, 3,998.40 and 2,281.60

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Solution

The fourth proportional to 2,665.60, 3,998.40 and 2,281.60 is: 3,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.60 : 3,998.40 = 2,281.60 : x
  2. Step 2: Convert to fraction form
    2,665.60/3,998.40 = 2,281.60/x
  3. Step 3: Cross multiply
    2,665.60x = 3,998.40 × 2,281.60
  4. Step 4: Simplify right side
    2,665.60x = 9,122,749.44
  5. Step 5: Solve for x
    x = 9,122,749.44/2,665.60
  6. Step 6: Final answer
    x = 3,422.40

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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.