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Finding the Fourth Proportional to 12,405.78, 17,119.89 and 6,816.90

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Solution

The fourth proportional to 12,405.78, 17,119.89 and 6,816.90 is: 9,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.78 : 17,119.89 = 6,816.90 : x
  2. Step 2: Convert to fraction form
    12,405.78/17,119.89 = 6,816.90/x
  3. Step 3: Cross multiply
    12,405.78x = 17,119.89 × 6,816.90
  4. Step 4: Simplify right side
    12,405.78x = 116,704,578.14
  5. Step 5: Solve for x
    x = 116,704,578.14/12,405.78
  6. Step 6: Final answer
    x = 9,407.27

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