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Finding the Fourth Proportional to 9,707, 13,382.08 and 8,208.92

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Solution

The fourth proportional to 9,707, 13,382.08 and 8,208.92 is: 11,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707 : 13,382.08 = 8,208.92 : x
  2. Step 2: Convert to fraction form
    9,707/13,382.08 = 8,208.92/x
  3. Step 3: Cross multiply
    9,707x = 13,382.08 × 8,208.92
  4. Step 4: Simplify right side
    9,707x = 109,852,424.15
  5. Step 5: Solve for x
    x = 109,852,424.15/9,707
  6. Step 6: Final answer
    x = 11,316.83

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Half scale
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Double scale
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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.