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Finding the Fourth Proportional to 21,937.29, 32,905.94 and 7,147.36

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Solution

The fourth proportional to 21,937.29, 32,905.94 and 7,147.36 is: 10,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,937.29 : 32,905.94 = 7,147.36 : x
  2. Step 2: Convert to fraction form
    21,937.29/32,905.94 = 7,147.36/x
  3. Step 3: Cross multiply
    21,937.29x = 32,905.94 × 7,147.36
  4. Step 4: Simplify right side
    21,937.29x = 235,190,599.32
  5. Step 5: Solve for x
    x = 235,190,599.32/21,937.29
  6. Step 6: Final answer
    x = 10,721.04

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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.