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Finding the Fourth Proportional to 19,650.69, 29,459.46 and 7,972.11

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Solution

The fourth proportional to 19,650.69, 29,459.46 and 7,972.11 is: 11,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,650.69 : 29,459.46 = 7,972.11 : x
  2. Step 2: Convert to fraction form
    19,650.69/29,459.46 = 7,972.11/x
  3. Step 3: Cross multiply
    19,650.69x = 29,459.46 × 7,972.11
  4. Step 4: Simplify right side
    19,650.69x = 234,854,055.66
  5. Step 5: Solve for x
    x = 234,854,055.66/19,650.69
  6. Step 6: Final answer
    x = 11,951.44

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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.