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Finding the Fourth Proportional to 7,194.40, 10,775.40 and 4,278.40

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Solution

The fourth proportional to 7,194.40, 10,775.40 and 4,278.40 is: 6,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.40 : 10,775.40 = 4,278.40 : x
  2. Step 2: Convert to fraction form
    7,194.40/10,775.40 = 4,278.40/x
  3. Step 3: Cross multiply
    7,194.40x = 10,775.40 × 4,278.40
  4. Step 4: Simplify right side
    7,194.40x = 46,101,471.36
  5. Step 5: Solve for x
    x = 46,101,471.36/7,194.40
  6. Step 6: Final answer
    x = 6,407.97

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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.