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Finding the Fourth Proportional to 21,614.63, 32,423.62 and 8,294

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Solution

The fourth proportional to 21,614.63, 32,423.62 and 8,294 is: 12,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.63 : 32,423.62 = 8,294 : x
  2. Step 2: Convert to fraction form
    21,614.63/32,423.62 = 8,294/x
  3. Step 3: Cross multiply
    21,614.63x = 32,423.62 × 8,294
  4. Step 4: Simplify right side
    21,614.63x = 268,921,504.28
  5. Step 5: Solve for x
    x = 268,921,504.28/21,614.63
  6. Step 6: Final answer
    x = 12,441.64

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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.