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Finding the Fourth Proportional to 12,175.68, 16,802.70 and 7,928.84

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Solution

The fourth proportional to 12,175.68, 16,802.70 and 7,928.84 is: 10,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.68 : 16,802.70 = 7,928.84 : x
  2. Step 2: Convert to fraction form
    12,175.68/16,802.70 = 7,928.84/x
  3. Step 3: Cross multiply
    12,175.68x = 16,802.70 × 7,928.84
  4. Step 4: Simplify right side
    12,175.68x = 133,225,919.87
  5. Step 5: Solve for x
    x = 133,225,919.87/12,175.68
  6. Step 6: Final answer
    x = 10,941.97

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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.