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Finding the Fourth Proportional to 6,990.50, 10,459.58 and 4,169.02

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Solution

The fourth proportional to 6,990.50, 10,459.58 and 4,169.02 is: 6,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.50 : 10,459.58 = 4,169.02 : x
  2. Step 2: Convert to fraction form
    6,990.50/10,459.58 = 4,169.02/x
  3. Step 3: Cross multiply
    6,990.50x = 10,459.58 × 4,169.02
  4. Step 4: Simplify right side
    6,990.50x = 43,606,198.21
  5. Step 5: Solve for x
    x = 43,606,198.21/6,990.50
  6. Step 6: Final answer
    x = 6,237.92

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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.