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Finding the Fourth Proportional to 8,629.86, 11,916.68 and 8,187

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Solution

The fourth proportional to 8,629.86, 11,916.68 and 8,187 is: 11,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629.86 : 11,916.68 = 8,187 : x
  2. Step 2: Convert to fraction form
    8,629.86/11,916.68 = 8,187/x
  3. Step 3: Cross multiply
    8,629.86x = 11,916.68 × 8,187
  4. Step 4: Simplify right side
    8,629.86x = 97,561,859.16
  5. Step 5: Solve for x
    x = 97,561,859.16/8,629.86
  6. Step 6: Final answer
    x = 11,305.15

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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.