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Finding the Fourth Proportional to 22,308.66, 30,786.21 and 13,930.02

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Solution

The fourth proportional to 22,308.66, 30,786.21 and 13,930.02 is: 19,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.66 : 30,786.21 = 13,930.02 : x
  2. Step 2: Convert to fraction form
    22,308.66/30,786.21 = 13,930.02/x
  3. Step 3: Cross multiply
    22,308.66x = 30,786.21 × 13,930.02
  4. Step 4: Simplify right side
    22,308.66x = 428,852,521.02
  5. Step 5: Solve for x
    x = 428,852,521.02/22,308.66
  6. Step 6: Final answer
    x = 19,223.59

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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.