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Finding the Fourth Proportional to 8,540.67, 12,783.67 and 4,582.20

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Solution

The fourth proportional to 8,540.67, 12,783.67 and 4,582.20 is: 6,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.67 : 12,783.67 = 4,582.20 : x
  2. Step 2: Convert to fraction form
    8,540.67/12,783.67 = 4,582.20/x
  3. Step 3: Cross multiply
    8,540.67x = 12,783.67 × 4,582.20
  4. Step 4: Simplify right side
    8,540.67x = 58,577,369.16
  5. Step 5: Solve for x
    x = 58,577,369.16/8,540.67
  6. Step 6: Final answer
    x = 6,858.64

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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.