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Finding the Fourth Proportional to 12,949.80, 19,436.04 and 5,164.08

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Solution

The fourth proportional to 12,949.80, 19,436.04 and 5,164.08 is: 7,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,949.80 : 19,436.04 = 5,164.08 : x
  2. Step 2: Convert to fraction form
    12,949.80/19,436.04 = 5,164.08/x
  3. Step 3: Cross multiply
    12,949.80x = 19,436.04 × 5,164.08
  4. Step 4: Simplify right side
    12,949.80x = 100,369,265.44
  5. Step 5: Solve for x
    x = 100,369,265.44/12,949.80
  6. Step 6: Final answer
    x = 7,750.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.