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Finding the Fourth Proportional to 12,875.48, 17,767.68 and 7,286.48

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Solution

The fourth proportional to 12,875.48, 17,767.68 and 7,286.48 is: 10,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.48 : 17,767.68 = 7,286.48 : x
  2. Step 2: Convert to fraction form
    12,875.48/17,767.68 = 7,286.48/x
  3. Step 3: Cross multiply
    12,875.48x = 17,767.68 × 7,286.48
  4. Step 4: Simplify right side
    12,875.48x = 129,463,844.97
  5. Step 5: Solve for x
    x = 129,463,844.97/12,875.48
  6. Step 6: Final answer
    x = 10,055.07

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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.