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Finding the Fourth Proportional to 14,206.78, 19,606.02 and 7,919.20

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Solution

The fourth proportional to 14,206.78, 19,606.02 and 7,919.20 is: 10,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.78 : 19,606.02 = 7,919.20 : x
  2. Step 2: Convert to fraction form
    14,206.78/19,606.02 = 7,919.20/x
  3. Step 3: Cross multiply
    14,206.78x = 19,606.02 × 7,919.20
  4. Step 4: Simplify right side
    14,206.78x = 155,263,993.58
  5. Step 5: Solve for x
    x = 155,263,993.58/14,206.78
  6. Step 6: Final answer
    x = 10,928.87

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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.