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Finding the Fourth Proportional to 11,649, 17,473.62 and 6,465.78

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Solution

The fourth proportional to 11,649, 17,473.62 and 6,465.78 is: 9,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649 : 17,473.62 = 6,465.78 : x
  2. Step 2: Convert to fraction form
    11,649/17,473.62 = 6,465.78/x
  3. Step 3: Cross multiply
    11,649x = 17,473.62 × 6,465.78
  4. Step 4: Simplify right side
    11,649x = 112,980,582.72
  5. Step 5: Solve for x
    x = 112,980,582.72/11,649
  6. Step 6: Final answer
    x = 9,698.74

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.