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Finding the Fourth Proportional to 8,670.34, 13,006.07 and 2,747.45

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Solution

The fourth proportional to 8,670.34, 13,006.07 and 2,747.45 is: 4,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.34 : 13,006.07 = 2,747.45 : x
  2. Step 2: Convert to fraction form
    8,670.34/13,006.07 = 2,747.45/x
  3. Step 3: Cross multiply
    8,670.34x = 13,006.07 × 2,747.45
  4. Step 4: Simplify right side
    8,670.34x = 35,733,527.02
  5. Step 5: Solve for x
    x = 35,733,527.02/8,670.34
  6. Step 6: Final answer
    x = 4,121.35

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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.