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Finding the Fourth Proportional to 12,727.14, 17,564.05 and 7,949.91

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Solution

The fourth proportional to 12,727.14, 17,564.05 and 7,949.91 is: 10,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.14 : 17,564.05 = 7,949.91 : x
  2. Step 2: Convert to fraction form
    12,727.14/17,564.05 = 7,949.91/x
  3. Step 3: Cross multiply
    12,727.14x = 17,564.05 × 7,949.91
  4. Step 4: Simplify right side
    12,727.14x = 139,632,616.74
  5. Step 5: Solve for x
    x = 139,632,616.74/12,727.14
  6. Step 6: Final answer
    x = 10,971.25

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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.