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Finding the Fourth Proportional to 12,194.34, 16,829.64 and 7,160.46

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Solution

The fourth proportional to 12,194.34, 16,829.64 and 7,160.46 is: 9,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.34 : 16,829.64 = 7,160.46 : x
  2. Step 2: Convert to fraction form
    12,194.34/16,829.64 = 7,160.46/x
  3. Step 3: Cross multiply
    12,194.34x = 16,829.64 × 7,160.46
  4. Step 4: Simplify right side
    12,194.34x = 120,507,964.03
  5. Step 5: Solve for x
    x = 120,507,964.03/12,194.34
  6. Step 6: Final answer
    x = 9,882.29

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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.