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Finding the Fourth Proportional to 21,490.08, 32,248.08 and 7,638

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Solution

The fourth proportional to 21,490.08, 32,248.08 and 7,638 is: 11,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,490.08 : 32,248.08 = 7,638 : x
  2. Step 2: Convert to fraction form
    21,490.08/32,248.08 = 7,638/x
  3. Step 3: Cross multiply
    21,490.08x = 32,248.08 × 7,638
  4. Step 4: Simplify right side
    21,490.08x = 246,310,835.04
  5. Step 5: Solve for x
    x = 246,310,835.04/21,490.08
  6. Step 6: Final answer
    x = 11,461.61

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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.