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Finding the Fourth Proportional to 6,934.74, 10,414.64 and 6,378.45

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Solution

The fourth proportional to 6,934.74, 10,414.64 and 6,378.45 is: 9,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.74 : 10,414.64 = 6,378.45 : x
  2. Step 2: Convert to fraction form
    6,934.74/10,414.64 = 6,378.45/x
  3. Step 3: Cross multiply
    6,934.74x = 10,414.64 × 6,378.45
  4. Step 4: Simplify right side
    6,934.74x = 66,429,213.48
  5. Step 5: Solve for x
    x = 66,429,213.48/6,934.74
  6. Step 6: Final answer
    x = 9,579.19

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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.