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Finding the Fourth Proportional to 28,582.60, 42,876.78 and 9,860.20

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Solution

The fourth proportional to 28,582.60, 42,876.78 and 9,860.20 is: 14,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,582.60 : 42,876.78 = 9,860.20 : x
  2. Step 2: Convert to fraction form
    28,582.60/42,876.78 = 9,860.20/x
  3. Step 3: Cross multiply
    28,582.60x = 42,876.78 × 9,860.20
  4. Step 4: Simplify right side
    28,582.60x = 422,773,626.16
  5. Step 5: Solve for x
    x = 422,773,626.16/28,582.60
  6. Step 6: Final answer
    x = 14,791.29

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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.