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Finding the Fourth Proportional to 19,131.17, 28,699.71 and 9,766.11

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Solution

The fourth proportional to 19,131.17, 28,699.71 and 9,766.11 is: 14,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,131.17 : 28,699.71 = 9,766.11 : x
  2. Step 2: Convert to fraction form
    19,131.17/28,699.71 = 9,766.11/x
  3. Step 3: Cross multiply
    19,131.17x = 28,699.71 × 9,766.11
  4. Step 4: Simplify right side
    19,131.17x = 280,284,381.33
  5. Step 5: Solve for x
    x = 280,284,381.33/19,131.17
  6. Step 6: Final answer
    x = 14,650.67

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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.