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Finding the Fourth Proportional to 8,820.64, 13,213.76 and 4,913.28

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Solution

The fourth proportional to 8,820.64, 13,213.76 and 4,913.28 is: 7,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820.64 : 13,213.76 = 4,913.28 : x
  2. Step 2: Convert to fraction form
    8,820.64/13,213.76 = 4,913.28/x
  3. Step 3: Cross multiply
    8,820.64x = 13,213.76 × 4,913.28
  4. Step 4: Simplify right side
    8,820.64x = 64,922,902.73
  5. Step 5: Solve for x
    x = 64,922,902.73/8,820.64
  6. Step 6: Final answer
    x = 7,360.34

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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.