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Finding the Fourth Proportional to 12,206.52, 16,845.03 and 7,490.70

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Solution

The fourth proportional to 12,206.52, 16,845.03 and 7,490.70 is: 10,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.52 : 16,845.03 = 7,490.70 : x
  2. Step 2: Convert to fraction form
    12,206.52/16,845.03 = 7,490.70/x
  3. Step 3: Cross multiply
    12,206.52x = 16,845.03 × 7,490.70
  4. Step 4: Simplify right side
    12,206.52x = 126,181,066.22
  5. Step 5: Solve for x
    x = 126,181,066.22/12,206.52
  6. Step 6: Final answer
    x = 10,337.19

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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.