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Finding the Fourth Proportional to 7,465.98, 11,199.09 and 1,919.20

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Solution

The fourth proportional to 7,465.98, 11,199.09 and 1,919.20 is: 2,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.98 : 11,199.09 = 1,919.20 : x
  2. Step 2: Convert to fraction form
    7,465.98/11,199.09 = 1,919.20/x
  3. Step 3: Cross multiply
    7,465.98x = 11,199.09 × 1,919.20
  4. Step 4: Simplify right side
    7,465.98x = 21,493,293.53
  5. Step 5: Solve for x
    x = 21,493,293.53/7,465.98
  6. Step 6: Final answer
    x = 2,878.83

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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.