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Finding the Fourth Proportional to 8,471.63, 11,690.85 and 5,159.63

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Solution

The fourth proportional to 8,471.63, 11,690.85 and 5,159.63 is: 7,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.63 : 11,690.85 = 5,159.63 : x
  2. Step 2: Convert to fraction form
    8,471.63/11,690.85 = 5,159.63/x
  3. Step 3: Cross multiply
    8,471.63x = 11,690.85 × 5,159.63
  4. Step 4: Simplify right side
    8,471.63x = 60,320,401.93
  5. Step 5: Solve for x
    x = 60,320,401.93/8,471.63
  6. Step 6: Final answer
    x = 7,120.29

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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.