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Finding the Fourth Proportional to 19,205.28, 28,788.12 and 7,355.82

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Solution

The fourth proportional to 19,205.28, 28,788.12 and 7,355.82 is: 11,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.28 : 28,788.12 = 7,355.82 : x
  2. Step 2: Convert to fraction form
    19,205.28/28,788.12 = 7,355.82/x
  3. Step 3: Cross multiply
    19,205.28x = 28,788.12 × 7,355.82
  4. Step 4: Simplify right side
    19,205.28x = 211,760,228.86
  5. Step 5: Solve for x
    x = 211,760,228.86/19,205.28
  6. Step 6: Final answer
    x = 11,026.15

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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.