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Finding the Fourth Proportional to 21,729.72, 32,583.06 and 9,411

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Solution

The fourth proportional to 21,729.72, 32,583.06 and 9,411 is: 14,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,729.72 : 32,583.06 = 9,411 : x
  2. Step 2: Convert to fraction form
    21,729.72/32,583.06 = 9,411/x
  3. Step 3: Cross multiply
    21,729.72x = 32,583.06 × 9,411
  4. Step 4: Simplify right side
    21,729.72x = 306,639,177.66
  5. Step 5: Solve for x
    x = 306,639,177.66/21,729.72
  6. Step 6: Final answer
    x = 14,111.51

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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.