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Finding the Fourth Proportional to 28,565.14, 42,847.25 and 7,788.64

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Solution

The fourth proportional to 28,565.14, 42,847.25 and 7,788.64 is: 11,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,565.14 : 42,847.25 = 7,788.64 : x
  2. Step 2: Convert to fraction form
    28,565.14/42,847.25 = 7,788.64/x
  3. Step 3: Cross multiply
    28,565.14x = 42,847.25 × 7,788.64
  4. Step 4: Simplify right side
    28,565.14x = 333,721,805.24
  5. Step 5: Solve for x
    x = 333,721,805.24/28,565.14
  6. Step 6: Final answer
    x = 11,682.83

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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.