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Finding the Fourth Proportional to 21,141, 31,711.50 and 8,829

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Solution

The fourth proportional to 21,141, 31,711.50 and 8,829 is: 13,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141 : 31,711.50 = 8,829 : x
  2. Step 2: Convert to fraction form
    21,141/31,711.50 = 8,829/x
  3. Step 3: Cross multiply
    21,141x = 31,711.50 × 8,829
  4. Step 4: Simplify right side
    21,141x = 279,980,833.50
  5. Step 5: Solve for x
    x = 279,980,833.50/21,141
  6. Step 6: Final answer
    x = 13,243.50

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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.