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Finding the Fourth Proportional to 21,831.70, 30,103.95 and 14,745.82

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Solution

The fourth proportional to 21,831.70, 30,103.95 and 14,745.82 is: 20,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831.70 : 30,103.95 = 14,745.82 : x
  2. Step 2: Convert to fraction form
    21,831.70/30,103.95 = 14,745.82/x
  3. Step 3: Cross multiply
    21,831.70x = 30,103.95 × 14,745.82
  4. Step 4: Simplify right side
    21,831.70x = 443,907,427.99
  5. Step 5: Solve for x
    x = 443,907,427.99/21,831.70
  6. Step 6: Final answer
    x = 20,333.16

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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.