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Finding the Fourth Proportional to 8,682.64, 13,014.76 and 2,837.68

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Solution

The fourth proportional to 8,682.64, 13,014.76 and 2,837.68 is: 4,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.64 : 13,014.76 = 2,837.68 : x
  2. Step 2: Convert to fraction form
    8,682.64/13,014.76 = 2,837.68/x
  3. Step 3: Cross multiply
    8,682.64x = 13,014.76 × 2,837.68
  4. Step 4: Simplify right side
    8,682.64x = 36,931,724.16
  5. Step 5: Solve for x
    x = 36,931,724.16/8,682.64
  6. Step 6: Final answer
    x = 4,253.51

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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.