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Finding the Fourth Proportional to 8,778.32, 13,153.64 and 3,224

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Solution

The fourth proportional to 8,778.32, 13,153.64 and 3,224 is: 4,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778.32 : 13,153.64 = 3,224 : x
  2. Step 2: Convert to fraction form
    8,778.32/13,153.64 = 3,224/x
  3. Step 3: Cross multiply
    8,778.32x = 13,153.64 × 3,224
  4. Step 4: Simplify right side
    8,778.32x = 42,407,335.36
  5. Step 5: Solve for x
    x = 42,407,335.36/8,778.32
  6. Step 6: Final answer
    x = 4,830.92

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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.