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Finding the Fourth Proportional to 8,680.64, 13,021.76 and 2,837.28

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Solution

The fourth proportional to 8,680.64, 13,021.76 and 2,837.28 is: 4,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680.64 : 13,021.76 = 2,837.28 : x
  2. Step 2: Convert to fraction form
    8,680.64/13,021.76 = 2,837.28/x
  3. Step 3: Cross multiply
    8,680.64x = 13,021.76 × 2,837.28
  4. Step 4: Simplify right side
    8,680.64x = 36,946,379.21
  5. Step 5: Solve for x
    x = 36,946,379.21/8,680.64
  6. Step 6: Final answer
    x = 4,256.18

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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.