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Finding the Fourth Proportional to 21,969.71, 32,954.54 and 8,822.07

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Solution

The fourth proportional to 21,969.71, 32,954.54 and 8,822.07 is: 13,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.71 : 32,954.54 = 8,822.07 : x
  2. Step 2: Convert to fraction form
    21,969.71/32,954.54 = 8,822.07/x
  3. Step 3: Cross multiply
    21,969.71x = 32,954.54 × 8,822.07
  4. Step 4: Simplify right side
    21,969.71x = 290,727,214.59
  5. Step 5: Solve for x
    x = 290,727,214.59/21,969.71
  6. Step 6: Final answer
    x = 13,233.10

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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.