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Finding the Fourth Proportional to 19,052.80, 28,587.28 and 7,961.68

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Solution

The fourth proportional to 19,052.80, 28,587.28 and 7,961.68 is: 11,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,052.80 : 28,587.28 = 7,961.68 : x
  2. Step 2: Convert to fraction form
    19,052.80/28,587.28 = 7,961.68/x
  3. Step 3: Cross multiply
    19,052.80x = 28,587.28 × 7,961.68
  4. Step 4: Simplify right side
    19,052.80x = 227,602,775.43
  5. Step 5: Solve for x
    x = 227,602,775.43/19,052.80
  6. Step 6: Final answer
    x = 11,945.90

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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.