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Finding the Fourth Proportional to 21,977.20, 32,962.42 and 7,186.20

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Solution

The fourth proportional to 21,977.20, 32,962.42 and 7,186.20 is: 10,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.20 : 32,962.42 = 7,186.20 : x
  2. Step 2: Convert to fraction form
    21,977.20/32,962.42 = 7,186.20/x
  3. Step 3: Cross multiply
    21,977.20x = 32,962.42 × 7,186.20
  4. Step 4: Simplify right side
    21,977.20x = 236,874,542.60
  5. Step 5: Solve for x
    x = 236,874,542.60/21,977.20
  6. Step 6: Final answer
    x = 10,778.19

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1.5x scale

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.