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Finding the Fourth Proportional to 13,988.34, 20,976.03 and 5,216.94

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Solution

The fourth proportional to 13,988.34, 20,976.03 and 5,216.94 is: 7,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.34 : 20,976.03 = 5,216.94 : x
  2. Step 2: Convert to fraction form
    13,988.34/20,976.03 = 5,216.94/x
  3. Step 3: Cross multiply
    13,988.34x = 20,976.03 × 5,216.94
  4. Step 4: Simplify right side
    13,988.34x = 109,430,689.95
  5. Step 5: Solve for x
    x = 109,430,689.95/13,988.34
  6. Step 6: Final answer
    x = 7,822.99

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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.