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Finding the Fourth Proportional to 21,910.48, 32,863.86 and 9,430

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Solution

The fourth proportional to 21,910.48, 32,863.86 and 9,430 is: 14,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910.48 : 32,863.86 = 9,430 : x
  2. Step 2: Convert to fraction form
    21,910.48/32,863.86 = 9,430/x
  3. Step 3: Cross multiply
    21,910.48x = 32,863.86 × 9,430
  4. Step 4: Simplify right side
    21,910.48x = 309,906,199.80
  5. Step 5: Solve for x
    x = 309,906,199.80/21,910.48
  6. Step 6: Final answer
    x = 14,144.20

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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.