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Finding the Fourth Proportional to 16,638.21, 22,958.02 and 9,831.29

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Solution

The fourth proportional to 16,638.21, 22,958.02 and 9,831.29 is: 13,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.21 : 22,958.02 = 9,831.29 : x
  2. Step 2: Convert to fraction form
    16,638.21/22,958.02 = 9,831.29/x
  3. Step 3: Cross multiply
    16,638.21x = 22,958.02 × 9,831.29
  4. Step 4: Simplify right side
    16,638.21x = 225,706,862.23
  5. Step 5: Solve for x
    x = 225,706,862.23/16,638.21
  6. Step 6: Final answer
    x = 13,565.57

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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.