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Finding the Fourth Proportional to 6,995.82, 9,646.14 and 5,578.40

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Solution

The fourth proportional to 6,995.82, 9,646.14 and 5,578.40 is: 7,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.82 : 9,646.14 = 5,578.40 : x
  2. Step 2: Convert to fraction form
    6,995.82/9,646.14 = 5,578.40/x
  3. Step 3: Cross multiply
    6,995.82x = 9,646.14 × 5,578.40
  4. Step 4: Simplify right side
    6,995.82x = 53,810,027.38
  5. Step 5: Solve for x
    x = 53,810,027.38/6,995.82
  6. Step 6: Final answer
    x = 7,691.74

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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.