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Finding the Fourth Proportional to 8,534.70, 12,800.43 and 2,986.74

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Solution

The fourth proportional to 8,534.70, 12,800.43 and 2,986.74 is: 4,479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.70 : 12,800.43 = 2,986.74 : x
  2. Step 2: Convert to fraction form
    8,534.70/12,800.43 = 2,986.74/x
  3. Step 3: Cross multiply
    8,534.70x = 12,800.43 × 2,986.74
  4. Step 4: Simplify right side
    8,534.70x = 38,231,556.30
  5. Step 5: Solve for x
    x = 38,231,556.30/8,534.70
  6. Step 6: Final answer
    x = 4,479.54

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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.