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Finding the Fourth Proportional to 8,235.54, 11,354.85 and 7,169.31

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Solution

The fourth proportional to 8,235.54, 11,354.85 and 7,169.31 is: 9,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.54 : 11,354.85 = 7,169.31 : x
  2. Step 2: Convert to fraction form
    8,235.54/11,354.85 = 7,169.31/x
  3. Step 3: Cross multiply
    8,235.54x = 11,354.85 × 7,169.31
  4. Step 4: Simplify right side
    8,235.54x = 81,406,439.65
  5. Step 5: Solve for x
    x = 81,406,439.65/8,235.54
  6. Step 6: Final answer
    x = 9,884.77

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Half scale
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Double scale
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Similar ratio
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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.