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Finding the Fourth Proportional to 12,262.78, 18,476.80 and 10,119.52

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Solution

The fourth proportional to 12,262.78, 18,476.80 and 10,119.52 is: 15,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.78 : 18,476.80 = 10,119.52 : x
  2. Step 2: Convert to fraction form
    12,262.78/18,476.80 = 10,119.52/x
  3. Step 3: Cross multiply
    12,262.78x = 18,476.80 × 10,119.52
  4. Step 4: Simplify right side
    12,262.78x = 186,976,347.14
  5. Step 5: Solve for x
    x = 186,976,347.14/12,262.78
  6. Step 6: Final answer
    x = 15,247.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.