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Finding the Fourth Proportional to 21,387, 32,093.87 and 10,294.86

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Solution

The fourth proportional to 21,387, 32,093.87 and 10,294.86 is: 15,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,387 : 32,093.87 = 10,294.86 : x
  2. Step 2: Convert to fraction form
    21,387/32,093.87 = 10,294.86/x
  3. Step 3: Cross multiply
    21,387x = 32,093.87 × 10,294.86
  4. Step 4: Simplify right side
    21,387x = 330,401,898.51
  5. Step 5: Solve for x
    x = 330,401,898.51/21,387
  6. Step 6: Final answer
    x = 15,448.73

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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.