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Finding the Fourth Proportional to 22,398.30, 30,911.10 and 14,831.46

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Solution

The fourth proportional to 22,398.30, 30,911.10 and 14,831.46 is: 20,468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,398.30 : 30,911.10 = 14,831.46 : x
  2. Step 2: Convert to fraction form
    22,398.30/30,911.10 = 14,831.46/x
  3. Step 3: Cross multiply
    22,398.30x = 30,911.10 × 14,831.46
  4. Step 4: Simplify right side
    22,398.30x = 458,456,743.21
  5. Step 5: Solve for x
    x = 458,456,743.21/22,398.30
  6. Step 6: Final answer
    x = 20,468.37

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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.