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Finding the Fourth Proportional to 11,981.64, 17,970.03 and 3,214.50

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Solution

The fourth proportional to 11,981.64, 17,970.03 and 3,214.50 is: 4,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.64 : 17,970.03 = 3,214.50 : x
  2. Step 2: Convert to fraction form
    11,981.64/17,970.03 = 3,214.50/x
  3. Step 3: Cross multiply
    11,981.64x = 17,970.03 × 3,214.50
  4. Step 4: Simplify right side
    11,981.64x = 57,764,661.44
  5. Step 5: Solve for x
    x = 57,764,661.44/11,981.64
  6. Step 6: Final answer
    x = 4,821.10

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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.