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Finding the Fourth Proportional to 6,854.91, 9,459.87 and 3,711.09

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Solution

The fourth proportional to 6,854.91, 9,459.87 and 3,711.09 is: 5,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.91 : 9,459.87 = 3,711.09 : x
  2. Step 2: Convert to fraction form
    6,854.91/9,459.87 = 3,711.09/x
  3. Step 3: Cross multiply
    6,854.91x = 9,459.87 × 3,711.09
  4. Step 4: Simplify right side
    6,854.91x = 35,106,428.96
  5. Step 5: Solve for x
    x = 35,106,428.96/6,854.91
  6. Step 6: Final answer
    x = 5,121.36

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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.