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Finding the Fourth Proportional to 9,993.69, 13,790.64 and 5,517.40

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Solution

The fourth proportional to 9,993.69, 13,790.64 and 5,517.40 is: 7,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.69 : 13,790.64 = 5,517.40 : x
  2. Step 2: Convert to fraction form
    9,993.69/13,790.64 = 5,517.40/x
  3. Step 3: Cross multiply
    9,993.69x = 13,790.64 × 5,517.40
  4. Step 4: Simplify right side
    9,993.69x = 76,088,539.63
  5. Step 5: Solve for x
    x = 76,088,539.63/9,993.69
  6. Step 6: Final answer
    x = 7,613.66

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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.