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Finding the Fourth Proportional to 7,420, 11,131.62 and 2,803

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Solution

The fourth proportional to 7,420, 11,131.62 and 2,803 is: 4,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420 : 11,131.62 = 2,803 : x
  2. Step 2: Convert to fraction form
    7,420/11,131.62 = 2,803/x
  3. Step 3: Cross multiply
    7,420x = 11,131.62 × 2,803
  4. Step 4: Simplify right side
    7,420x = 31,201,930.86
  5. Step 5: Solve for x
    x = 31,201,930.86/7,420
  6. Step 6: Final answer
    x = 4,205.11

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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.