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Finding the Fourth Proportional to 8,278.95, 12,403.97 and 6,901.14

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Solution

The fourth proportional to 8,278.95, 12,403.97 and 6,901.14 is: 10,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.95 : 12,403.97 = 6,901.14 : x
  2. Step 2: Convert to fraction form
    8,278.95/12,403.97 = 6,901.14/x
  3. Step 3: Cross multiply
    8,278.95x = 12,403.97 × 6,901.14
  4. Step 4: Simplify right side
    8,278.95x = 85,601,471.51
  5. Step 5: Solve for x
    x = 85,601,471.51/8,278.95
  6. Step 6: Final answer
    x = 10,339.66

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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.