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Finding the Fourth Proportional to 15,166.76, 20,931.18 and 9,198.68

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Solution

The fourth proportional to 15,166.76, 20,931.18 and 9,198.68 is: 12,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166.76 : 20,931.18 = 9,198.68 : x
  2. Step 2: Convert to fraction form
    15,166.76/20,931.18 = 9,198.68/x
  3. Step 3: Cross multiply
    15,166.76x = 20,931.18 × 9,198.68
  4. Step 4: Simplify right side
    15,166.76x = 192,539,226.84
  5. Step 5: Solve for x
    x = 192,539,226.84/15,166.76
  6. Step 6: Final answer
    x = 12,694.82

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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.