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Finding the Fourth Proportional to 23,232, 34,852.32 and 10,920

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Solution

The fourth proportional to 23,232, 34,852.32 and 10,920 is: 16,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232 : 34,852.32 = 10,920 : x
  2. Step 2: Convert to fraction form
    23,232/34,852.32 = 10,920/x
  3. Step 3: Cross multiply
    23,232x = 34,852.32 × 10,920
  4. Step 4: Simplify right side
    23,232x = 380,587,334.40
  5. Step 5: Solve for x
    x = 380,587,334.40/23,232
  6. Step 6: Final answer
    x = 16,382.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.