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Finding the Fourth Proportional to 8,514.72, 12,772.08 and 7,669.08

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Solution

The fourth proportional to 8,514.72, 12,772.08 and 7,669.08 is: 11,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.72 : 12,772.08 = 7,669.08 : x
  2. Step 2: Convert to fraction form
    8,514.72/12,772.08 = 7,669.08/x
  3. Step 3: Cross multiply
    8,514.72x = 12,772.08 × 7,669.08
  4. Step 4: Simplify right side
    8,514.72x = 97,950,103.29
  5. Step 5: Solve for x
    x = 97,950,103.29/8,514.72
  6. Step 6: Final answer
    x = 11,503.62

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1.5x scale

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.