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Finding the Fourth Proportional to 21,904.07, 32,850.05 and 9,421.43

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Solution

The fourth proportional to 21,904.07, 32,850.05 and 9,421.43 is: 14,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,904.07 : 32,850.05 = 9,421.43 : x
  2. Step 2: Convert to fraction form
    21,904.07/32,850.05 = 9,421.43/x
  3. Step 3: Cross multiply
    21,904.07x = 32,850.05 × 9,421.43
  4. Step 4: Simplify right side
    21,904.07x = 309,494,235.21
  5. Step 5: Solve for x
    x = 309,494,235.21/21,904.07
  6. Step 6: Final answer
    x = 14,129.53

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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.