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Finding the Fourth Proportional to 12,199.93, 16,836.03 and 7,164.21

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Solution

The fourth proportional to 12,199.93, 16,836.03 and 7,164.21 is: 9,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.93 : 16,836.03 = 7,164.21 : x
  2. Step 2: Convert to fraction form
    12,199.93/16,836.03 = 7,164.21/x
  3. Step 3: Cross multiply
    12,199.93x = 16,836.03 × 7,164.21
  4. Step 4: Simplify right side
    12,199.93x = 120,616,854.49
  5. Step 5: Solve for x
    x = 120,616,854.49/12,199.93
  6. Step 6: Final answer
    x = 9,886.68

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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.