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Finding the Fourth Proportional to 13,989.16, 20,974.02 and 5,221.72

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Solution

The fourth proportional to 13,989.16, 20,974.02 and 5,221.72 is: 7,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989.16 : 20,974.02 = 5,221.72 : x
  2. Step 2: Convert to fraction form
    13,989.16/20,974.02 = 5,221.72/x
  3. Step 3: Cross multiply
    13,989.16x = 20,974.02 × 5,221.72
  4. Step 4: Simplify right side
    13,989.16x = 109,520,459.71
  5. Step 5: Solve for x
    x = 109,520,459.71/13,989.16
  6. Step 6: Final answer
    x = 7,828.95

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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.