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Finding the Fourth Proportional to 20,349.80, 30,537.68 and 8,663

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Solution

The fourth proportional to 20,349.80, 30,537.68 and 8,663 is: 13,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,349.80 : 30,537.68 = 8,663 : x
  2. Step 2: Convert to fraction form
    20,349.80/30,537.68 = 8,663/x
  3. Step 3: Cross multiply
    20,349.80x = 30,537.68 × 8,663
  4. Step 4: Simplify right side
    20,349.80x = 264,547,921.84
  5. Step 5: Solve for x
    x = 264,547,921.84/20,349.80
  6. Step 6: Final answer
    x = 13,000.03

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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.