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Finding the Fourth Proportional to 8,969.86, 13,514.65 and 8,126.62

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Solution

The fourth proportional to 8,969.86, 13,514.65 and 8,126.62 is: 12,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.86 : 13,514.65 = 8,126.62 : x
  2. Step 2: Convert to fraction form
    8,969.86/13,514.65 = 8,126.62/x
  3. Step 3: Cross multiply
    8,969.86x = 13,514.65 × 8,126.62
  4. Step 4: Simplify right side
    8,969.86x = 109,828,424.98
  5. Step 5: Solve for x
    x = 109,828,424.98/8,969.86
  6. Step 6: Final answer
    x = 12,244.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.