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Finding the Fourth Proportional to 6,906.32, 10,357.74 and 1,975.99

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Solution

The fourth proportional to 6,906.32, 10,357.74 and 1,975.99 is: 2,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.32 : 10,357.74 = 1,975.99 : x
  2. Step 2: Convert to fraction form
    6,906.32/10,357.74 = 1,975.99/x
  3. Step 3: Cross multiply
    6,906.32x = 10,357.74 × 1,975.99
  4. Step 4: Simplify right side
    6,906.32x = 20,466,790.66
  5. Step 5: Solve for x
    x = 20,466,790.66/6,906.32
  6. Step 6: Final answer
    x = 2,963.49

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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.