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Finding the Fourth Proportional to 8,397.50, 11,514.86 and 8,178.80

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Solution

The fourth proportional to 8,397.50, 11,514.86 and 8,178.80 is: 11,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.50 : 11,514.86 = 8,178.80 : x
  2. Step 2: Convert to fraction form
    8,397.50/11,514.86 = 8,178.80/x
  3. Step 3: Cross multiply
    8,397.50x = 11,514.86 × 8,178.80
  4. Step 4: Simplify right side
    8,397.50x = 94,177,638.50
  5. Step 5: Solve for x
    x = 94,177,638.50/8,397.50
  6. Step 6: Final answer
    x = 11,214.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.