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Finding the Fourth Proportional to 23,831.16, 32,885.76 and 13,220.76

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Solution

The fourth proportional to 23,831.16, 32,885.76 and 13,220.76 is: 18,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831.16 : 32,885.76 = 13,220.76 : x
  2. Step 2: Convert to fraction form
    23,831.16/32,885.76 = 13,220.76/x
  3. Step 3: Cross multiply
    23,831.16x = 32,885.76 × 13,220.76
  4. Step 4: Simplify right side
    23,831.16x = 434,774,740.38
  5. Step 5: Solve for x
    x = 434,774,740.38/23,831.16
  6. Step 6: Final answer
    x = 18,243.96

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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.