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Finding the Fourth Proportional to 10,469.70, 15,683.29 and 6,508.80

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Solution

The fourth proportional to 10,469.70, 15,683.29 and 6,508.80 is: 9,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.70 : 15,683.29 = 6,508.80 : x
  2. Step 2: Convert to fraction form
    10,469.70/15,683.29 = 6,508.80/x
  3. Step 3: Cross multiply
    10,469.70x = 15,683.29 × 6,508.80
  4. Step 4: Simplify right side
    10,469.70x = 102,079,381.68
  5. Step 5: Solve for x
    x = 102,079,381.68/10,469.70
  6. Step 6: Final answer
    x = 9,749.98

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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.