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Finding the Fourth Proportional to 21,896.60, 32,823.30 and 8,731.40

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Solution

The fourth proportional to 21,896.60, 32,823.30 and 8,731.40 is: 13,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,896.60 : 32,823.30 = 8,731.40 : x
  2. Step 2: Convert to fraction form
    21,896.60/32,823.30 = 8,731.40/x
  3. Step 3: Cross multiply
    21,896.60x = 32,823.30 × 8,731.40
  4. Step 4: Simplify right side
    21,896.60x = 286,593,361.62
  5. Step 5: Solve for x
    x = 286,593,361.62/21,896.60
  6. Step 6: Final answer
    x = 13,088.49

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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.