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Finding the Fourth Proportional to 8,586.42, 12,881.45 and 2,964.61

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Solution

The fourth proportional to 8,586.42, 12,881.45 and 2,964.61 is: 4,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.42 : 12,881.45 = 2,964.61 : x
  2. Step 2: Convert to fraction form
    8,586.42/12,881.45 = 2,964.61/x
  3. Step 3: Cross multiply
    8,586.42x = 12,881.45 × 2,964.61
  4. Step 4: Simplify right side
    8,586.42x = 38,188,460.66
  5. Step 5: Solve for x
    x = 38,188,460.66/8,586.42
  6. Step 6: Final answer
    x = 4,447.54

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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.