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Finding the Fourth Proportional to 19,679.78, 29,511.84 and 7,196.96

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Solution

The fourth proportional to 19,679.78, 29,511.84 and 7,196.96 is: 10,792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,679.78 : 29,511.84 = 7,196.96 : x
  2. Step 2: Convert to fraction form
    19,679.78/29,511.84 = 7,196.96/x
  3. Step 3: Cross multiply
    19,679.78x = 29,511.84 × 7,196.96
  4. Step 4: Simplify right side
    19,679.78x = 212,395,532.01
  5. Step 5: Solve for x
    x = 212,395,532.01/19,679.78
  6. Step 6: Final answer
    x = 10,792.58

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1.5x scale

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.