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Finding the Fourth Proportional to 13,181.76, 19,772.64 and 3,321

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Solution

The fourth proportional to 13,181.76, 19,772.64 and 3,321 is: 4,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.76 : 19,772.64 = 3,321 : x
  2. Step 2: Convert to fraction form
    13,181.76/19,772.64 = 3,321/x
  3. Step 3: Cross multiply
    13,181.76x = 19,772.64 × 3,321
  4. Step 4: Simplify right side
    13,181.76x = 65,664,937.44
  5. Step 5: Solve for x
    x = 65,664,937.44/13,181.76
  6. Step 6: Final answer
    x = 4,981.50

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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.