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Finding the Fourth Proportional to 6,904.49, 10,358.01 and 6,278.49

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Solution

The fourth proportional to 6,904.49, 10,358.01 and 6,278.49 is: 9,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.49 : 10,358.01 = 6,278.49 : x
  2. Step 2: Convert to fraction form
    6,904.49/10,358.01 = 6,278.49/x
  3. Step 3: Cross multiply
    6,904.49x = 10,358.01 × 6,278.49
  4. Step 4: Simplify right side
    6,904.49x = 65,032,662.20
  5. Step 5: Solve for x
    x = 65,032,662.20/6,904.49
  6. Step 6: Final answer
    x = 9,418.90

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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.