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Finding the Fourth Proportional to 12,814.96, 17,683.96 and 8,269.68

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Solution

The fourth proportional to 12,814.96, 17,683.96 and 8,269.68 is: 11,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.96 : 17,683.96 = 8,269.68 : x
  2. Step 2: Convert to fraction form
    12,814.96/17,683.96 = 8,269.68/x
  3. Step 3: Cross multiply
    12,814.96x = 17,683.96 × 8,269.68
  4. Step 4: Simplify right side
    12,814.96x = 146,240,690.33
  5. Step 5: Solve for x
    x = 146,240,690.33/12,814.96
  6. Step 6: Final answer
    x = 11,411.72

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1.5x scale

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.