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Finding the Fourth Proportional to 8,684.82, 13,024.50 and 2,840.06

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Solution

The fourth proportional to 8,684.82, 13,024.50 and 2,840.06 is: 4,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.82 : 13,024.50 = 2,840.06 : x
  2. Step 2: Convert to fraction form
    8,684.82/13,024.50 = 2,840.06/x
  3. Step 3: Cross multiply
    8,684.82x = 13,024.50 × 2,840.06
  4. Step 4: Simplify right side
    8,684.82x = 36,990,383.38
  5. Step 5: Solve for x
    x = 36,990,383.38/8,684.82
  6. Step 6: Final answer
    x = 4,259.20

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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.