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Finding the Fourth Proportional to 12,967.74, 19,432.17 and 7,767.90

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Solution

The fourth proportional to 12,967.74, 19,432.17 and 7,767.90 is: 11,640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.74 : 19,432.17 = 7,767.90 : x
  2. Step 2: Convert to fraction form
    12,967.74/19,432.17 = 7,767.90/x
  3. Step 3: Cross multiply
    12,967.74x = 19,432.17 × 7,767.90
  4. Step 4: Simplify right side
    12,967.74x = 150,947,153.34
  5. Step 5: Solve for x
    x = 150,947,153.34/12,967.74
  6. Step 6: Final answer
    x = 11,640.21

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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.