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Finding the Fourth Proportional to 12,200.10, 16,840.79 and 7,952.20

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Solution

The fourth proportional to 12,200.10, 16,840.79 and 7,952.20 is: 10,977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.10 : 16,840.79 = 7,952.20 : x
  2. Step 2: Convert to fraction form
    12,200.10/16,840.79 = 7,952.20/x
  3. Step 3: Cross multiply
    12,200.10x = 16,840.79 × 7,952.20
  4. Step 4: Simplify right side
    12,200.10x = 133,921,330.24
  5. Step 5: Solve for x
    x = 133,921,330.24/12,200.10
  6. Step 6: Final answer
    x = 10,977.07

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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.