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Finding the Fourth Proportional to 8,489.72, 12,719.88 and 4,596.80

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Solution

The fourth proportional to 8,489.72, 12,719.88 and 4,596.80 is: 6,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.72 : 12,719.88 = 4,596.80 : x
  2. Step 2: Convert to fraction form
    8,489.72/12,719.88 = 4,596.80/x
  3. Step 3: Cross multiply
    8,489.72x = 12,719.88 × 4,596.80
  4. Step 4: Simplify right side
    8,489.72x = 58,470,744.38
  5. Step 5: Solve for x
    x = 58,470,744.38/8,489.72
  6. Step 6: Final answer
    x = 6,887.24

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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.