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Finding the Fourth Proportional to 22,153.80, 30,572.34 and 13,205.80

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Solution

The fourth proportional to 22,153.80, 30,572.34 and 13,205.80 is: 18,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,153.80 : 30,572.34 = 13,205.80 : x
  2. Step 2: Convert to fraction form
    22,153.80/30,572.34 = 13,205.80/x
  3. Step 3: Cross multiply
    22,153.80x = 30,572.34 × 13,205.80
  4. Step 4: Simplify right side
    22,153.80x = 403,732,207.57
  5. Step 5: Solve for x
    x = 403,732,207.57/22,153.80
  6. Step 6: Final answer
    x = 18,224.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.