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Finding the Fourth Proportional to 7,502.78, 11,257.58 and 6,516.58

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Solution

The fourth proportional to 7,502.78, 11,257.58 and 6,516.58 is: 9,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.78 : 11,257.58 = 6,516.58 : x
  2. Step 2: Convert to fraction form
    7,502.78/11,257.58 = 6,516.58/x
  3. Step 3: Cross multiply
    7,502.78x = 11,257.58 × 6,516.58
  4. Step 4: Simplify right side
    7,502.78x = 73,360,898.27
  5. Step 5: Solve for x
    x = 73,360,898.27/7,502.78
  6. Step 6: Final answer
    x = 9,777.83

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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.