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Finding the Fourth Proportional to 8,268.50, 11,410.54 and 4,542.50

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Solution

The fourth proportional to 8,268.50, 11,410.54 and 4,542.50 is: 6,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.50 : 11,410.54 = 4,542.50 : x
  2. Step 2: Convert to fraction form
    8,268.50/11,410.54 = 4,542.50/x
  3. Step 3: Cross multiply
    8,268.50x = 11,410.54 × 4,542.50
  4. Step 4: Simplify right side
    8,268.50x = 51,832,377.95
  5. Step 5: Solve for x
    x = 51,832,377.95/8,268.50
  6. Step 6: Final answer
    x = 6,268.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.