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Finding the Fourth Proportional to 5,280.96, 7,920.96 and 2,361.60

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Solution

The fourth proportional to 5,280.96, 7,920.96 and 2,361.60 is: 3,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.96 : 7,920.96 = 2,361.60 : x
  2. Step 2: Convert to fraction form
    5,280.96/7,920.96 = 2,361.60/x
  3. Step 3: Cross multiply
    5,280.96x = 7,920.96 × 2,361.60
  4. Step 4: Simplify right side
    5,280.96x = 18,706,139.14
  5. Step 5: Solve for x
    x = 18,706,139.14/5,280.96
  6. Step 6: Final answer
    x = 3,542.19

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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.