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Finding the Fourth Proportional to 7,557, 11,307 and 6,789.64

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Solution

The fourth proportional to 7,557, 11,307 and 6,789.64 is: 10,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557 : 11,307 = 6,789.64 : x
  2. Step 2: Convert to fraction form
    7,557/11,307 = 6,789.64/x
  3. Step 3: Cross multiply
    7,557x = 11,307 × 6,789.64
  4. Step 4: Simplify right side
    7,557x = 76,770,459.48
  5. Step 5: Solve for x
    x = 76,770,459.48/7,557
  6. Step 6: Final answer
    x = 10,158.85

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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.