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Finding the Fourth Proportional to 8,288.34, 11,438.91 and 5,145

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Solution

The fourth proportional to 8,288.34, 11,438.91 and 5,145 is: 7,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.34 : 11,438.91 = 5,145 : x
  2. Step 2: Convert to fraction form
    8,288.34/11,438.91 = 5,145/x
  3. Step 3: Cross multiply
    8,288.34x = 11,438.91 × 5,145
  4. Step 4: Simplify right side
    8,288.34x = 58,853,191.95
  5. Step 5: Solve for x
    x = 58,853,191.95/8,288.34
  6. Step 6: Final answer
    x = 7,100.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.