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Finding the Fourth Proportional to 7,198.11, 10,798.61 and 3,038.11

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Solution

The fourth proportional to 7,198.11, 10,798.61 and 3,038.11 is: 4,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.11 : 10,798.61 = 3,038.11 : x
  2. Step 2: Convert to fraction form
    7,198.11/10,798.61 = 3,038.11/x
  3. Step 3: Cross multiply
    7,198.11x = 10,798.61 × 3,038.11
  4. Step 4: Simplify right side
    7,198.11x = 32,807,365.03
  5. Step 5: Solve for x
    x = 32,807,365.03/7,198.11
  6. Step 6: Final answer
    x = 4,557.77

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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.