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Finding the Fourth Proportional to 21,688.80, 32,511.02 and 12,309

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Solution

The fourth proportional to 21,688.80, 32,511.02 and 12,309 is: 18,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,688.80 : 32,511.02 = 12,309 : x
  2. Step 2: Convert to fraction form
    21,688.80/32,511.02 = 12,309/x
  3. Step 3: Cross multiply
    21,688.80x = 32,511.02 × 12,309
  4. Step 4: Simplify right side
    21,688.80x = 400,178,145.18
  5. Step 5: Solve for x
    x = 400,178,145.18/21,688.80
  6. Step 6: Final answer
    x = 18,450.91

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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.