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Finding the Fourth Proportional to 9,833.34, 13,578 and 8,016.65

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Solution

The fourth proportional to 9,833.34, 13,578 and 8,016.65 is: 11,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.34 : 13,578 = 8,016.65 : x
  2. Step 2: Convert to fraction form
    9,833.34/13,578 = 8,016.65/x
  3. Step 3: Cross multiply
    9,833.34x = 13,578 × 8,016.65
  4. Step 4: Simplify right side
    9,833.34x = 108,850,005.81
  5. Step 5: Solve for x
    x = 108,850,005.81/9,833.34
  6. Step 6: Final answer
    x = 11,069.48

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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.