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Finding the Fourth Proportional to 7,419, 11,118.66 and 6,188.82

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Solution

The fourth proportional to 7,419, 11,118.66 and 6,188.82 is: 9,275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419 : 11,118.66 = 6,188.82 : x
  2. Step 2: Convert to fraction form
    7,419/11,118.66 = 6,188.82/x
  3. Step 3: Cross multiply
    7,419x = 11,118.66 × 6,188.82
  4. Step 4: Simplify right side
    7,419x = 68,811,385.38
  5. Step 5: Solve for x
    x = 68,811,385.38/7,419
  6. Step 6: Final answer
    x = 9,275.02

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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.