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Finding the Fourth Proportional to 8,278.95, 11,425.07 and 4,742.09

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Solution

The fourth proportional to 8,278.95, 11,425.07 and 4,742.09 is: 6,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.95 : 11,425.07 = 4,742.09 : x
  2. Step 2: Convert to fraction form
    8,278.95/11,425.07 = 4,742.09/x
  3. Step 3: Cross multiply
    8,278.95x = 11,425.07 × 4,742.09
  4. Step 4: Simplify right side
    8,278.95x = 54,178,664.93
  5. Step 5: Solve for x
    x = 54,178,664.93/8,278.95
  6. Step 6: Final answer
    x = 6,544.15

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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.