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Finding the Fourth Proportional to 6,825.40, 9,414.78 and 4,305.40

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Solution

The fourth proportional to 6,825.40, 9,414.78 and 4,305.40 is: 5,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.40 : 9,414.78 = 4,305.40 : x
  2. Step 2: Convert to fraction form
    6,825.40/9,414.78 = 4,305.40/x
  3. Step 3: Cross multiply
    6,825.40x = 9,414.78 × 4,305.40
  4. Step 4: Simplify right side
    6,825.40x = 40,534,393.81
  5. Step 5: Solve for x
    x = 40,534,393.81/6,825.40
  6. Step 6: Final answer
    x = 5,938.76

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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.