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Finding the Fourth Proportional to 9,705, 13,379.34 and 8,206.92

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Solution

The fourth proportional to 9,705, 13,379.34 and 8,206.92 is: 11,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705 : 13,379.34 = 8,206.92 : x
  2. Step 2: Convert to fraction form
    9,705/13,379.34 = 8,206.92/x
  3. Step 3: Cross multiply
    9,705x = 13,379.34 × 8,206.92
  4. Step 4: Simplify right side
    9,705x = 109,803,173.03
  5. Step 5: Solve for x
    x = 109,803,173.03/9,705
  6. Step 6: Final answer
    x = 11,314.08

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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.