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Finding the Fourth Proportional to 22,679, 33,985.68 and 12,797.40

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Solution

The fourth proportional to 22,679, 33,985.68 and 12,797.40 is: 19,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,679 : 33,985.68 = 12,797.40 : x
  2. Step 2: Convert to fraction form
    22,679/33,985.68 = 12,797.40/x
  3. Step 3: Cross multiply
    22,679x = 33,985.68 × 12,797.40
  4. Step 4: Simplify right side
    22,679x = 434,928,341.23
  5. Step 5: Solve for x
    x = 434,928,341.23/22,679
  6. Step 6: Final answer
    x = 19,177.58

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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.