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Finding the Fourth Proportional to 13,984, 20,977.20 and 4,624

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Solution

The fourth proportional to 13,984, 20,977.20 and 4,624 is: 6,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984 : 20,977.20 = 4,624 : x
  2. Step 2: Convert to fraction form
    13,984/20,977.20 = 4,624/x
  3. Step 3: Cross multiply
    13,984x = 20,977.20 × 4,624
  4. Step 4: Simplify right side
    13,984x = 96,998,572.80
  5. Step 5: Solve for x
    x = 96,998,572.80/13,984
  6. Step 6: Final answer
    x = 6,936.40

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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.