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Finding the Fourth Proportional to 28,565.21, 42,847.35 and 7,788.71

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Solution

The fourth proportional to 28,565.21, 42,847.35 and 7,788.71 is: 11,682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,565.21 : 42,847.35 = 7,788.71 : x
  2. Step 2: Convert to fraction form
    28,565.21/42,847.35 = 7,788.71/x
  3. Step 3: Cross multiply
    28,565.21x = 42,847.35 × 7,788.71
  4. Step 4: Simplify right side
    28,565.21x = 333,725,369.18
  5. Step 5: Solve for x
    x = 333,725,369.18/28,565.21
  6. Step 6: Final answer
    x = 11,682.93

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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.