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Finding the Fourth Proportional to 9,855.91, 13,578.05 and 6,866.33

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Solution

The fourth proportional to 9,855.91, 13,578.05 and 6,866.33 is: 9,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.91 : 13,578.05 = 6,866.33 : x
  2. Step 2: Convert to fraction form
    9,855.91/13,578.05 = 6,866.33/x
  3. Step 3: Cross multiply
    9,855.91x = 13,578.05 × 6,866.33
  4. Step 4: Simplify right side
    9,855.91x = 93,231,337.72
  5. Step 5: Solve for x
    x = 93,231,337.72/9,855.91
  6. Step 6: Final answer
    x = 9,459.44

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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.