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Finding the Fourth Proportional to 19,751.89, 29,627.87 and 7,911

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Solution

The fourth proportional to 19,751.89, 29,627.87 and 7,911 is: 11,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,751.89 : 29,627.87 = 7,911 : x
  2. Step 2: Convert to fraction form
    19,751.89/29,627.87 = 7,911/x
  3. Step 3: Cross multiply
    19,751.89x = 29,627.87 × 7,911
  4. Step 4: Simplify right side
    19,751.89x = 234,386,079.57
  5. Step 5: Solve for x
    x = 234,386,079.57/19,751.89
  6. Step 6: Final answer
    x = 11,866.51

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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.