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Finding the Fourth Proportional to 8,396, 11,586.48 and 4,670.88

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Solution

The fourth proportional to 8,396, 11,586.48 and 4,670.88 is: 6,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396 : 11,586.48 = 4,670.88 : x
  2. Step 2: Convert to fraction form
    8,396/11,586.48 = 4,670.88/x
  3. Step 3: Cross multiply
    8,396x = 11,586.48 × 4,670.88
  4. Step 4: Simplify right side
    8,396x = 54,119,057.70
  5. Step 5: Solve for x
    x = 54,119,057.70/8,396
  6. Step 6: Final answer
    x = 6,445.81

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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.