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Finding the Fourth Proportional to 21,443.70, 32,167.74 and 7,401.90

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Solution

The fourth proportional to 21,443.70, 32,167.74 and 7,401.90 is: 11,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,443.70 : 32,167.74 = 7,401.90 : x
  2. Step 2: Convert to fraction form
    21,443.70/32,167.74 = 7,401.90/x
  3. Step 3: Cross multiply
    21,443.70x = 32,167.74 × 7,401.90
  4. Step 4: Simplify right side
    21,443.70x = 238,102,394.71
  5. Step 5: Solve for x
    x = 238,102,394.71/21,443.70
  6. Step 6: Final answer
    x = 11,103.61

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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.