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Finding the Fourth Proportional to 6,858.53, 9,441.89 and 6,545.09

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Solution

The fourth proportional to 6,858.53, 9,441.89 and 6,545.09 is: 9,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.53 : 9,441.89 = 6,545.09 : x
  2. Step 2: Convert to fraction form
    6,858.53/9,441.89 = 6,545.09/x
  3. Step 3: Cross multiply
    6,858.53x = 9,441.89 × 6,545.09
  4. Step 4: Simplify right side
    6,858.53x = 61,797,987.09
  5. Step 5: Solve for x
    x = 61,797,987.09/6,858.53
  6. Step 6: Final answer
    x = 9,010.38

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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.