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Finding the Fourth Proportional to 9,690.75, 13,365.90 and 8,348.63

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Solution

The fourth proportional to 9,690.75, 13,365.90 and 8,348.63 is: 11,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.75 : 13,365.90 = 8,348.63 : x
  2. Step 2: Convert to fraction form
    9,690.75/13,365.90 = 8,348.63/x
  3. Step 3: Cross multiply
    9,690.75x = 13,365.90 × 8,348.63
  4. Step 4: Simplify right side
    9,690.75x = 111,586,953.72
  5. Step 5: Solve for x
    x = 111,586,953.72/9,690.75
  6. Step 6: Final answer
    x = 11,514.79

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Half scale
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Double scale
Find fourth proportional to 9,691.75, 13,367.28 and 8,349.63
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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.