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Finding the Fourth Proportional to 7,480, 11,198.27 and 4,350.46

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Solution

The fourth proportional to 7,480, 11,198.27 and 4,350.46 is: 6,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480 : 11,198.27 = 4,350.46 : x
  2. Step 2: Convert to fraction form
    7,480/11,198.27 = 4,350.46/x
  3. Step 3: Cross multiply
    7,480x = 11,198.27 × 4,350.46
  4. Step 4: Simplify right side
    7,480x = 48,717,625.70
  5. Step 5: Solve for x
    x = 48,717,625.70/7,480
  6. Step 6: Final answer
    x = 6,513.05

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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.