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Finding the Fourth Proportional to 22,320, 33,485.40 and 6,737.76

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Solution

The fourth proportional to 22,320, 33,485.40 and 6,737.76 is: 10,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,320 : 33,485.40 = 6,737.76 : x
  2. Step 2: Convert to fraction form
    22,320/33,485.40 = 6,737.76/x
  3. Step 3: Cross multiply
    22,320x = 33,485.40 × 6,737.76
  4. Step 4: Simplify right side
    22,320x = 225,616,588.70
  5. Step 5: Solve for x
    x = 225,616,588.70/22,320
  6. Step 6: Final answer
    x = 10,108.27

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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.