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Finding the Fourth Proportional to 6,889.66, 10,340.49 and 3,934.02

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Solution

The fourth proportional to 6,889.66, 10,340.49 and 3,934.02 is: 5,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.66 : 10,340.49 = 3,934.02 : x
  2. Step 2: Convert to fraction form
    6,889.66/10,340.49 = 3,934.02/x
  3. Step 3: Cross multiply
    6,889.66x = 10,340.49 × 3,934.02
  4. Step 4: Simplify right side
    6,889.66x = 40,679,656.64
  5. Step 5: Solve for x
    x = 40,679,656.64/6,889.66
  6. Step 6: Final answer
    x = 5,904.45

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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.