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Finding the Fourth Proportional to 8,414.34, 12,605.04 and 5,119.26

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Solution

The fourth proportional to 8,414.34, 12,605.04 and 5,119.26 is: 7,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.34 : 12,605.04 = 5,119.26 : x
  2. Step 2: Convert to fraction form
    8,414.34/12,605.04 = 5,119.26/x
  3. Step 3: Cross multiply
    8,414.34x = 12,605.04 × 5,119.26
  4. Step 4: Simplify right side
    8,414.34x = 64,528,477.07
  5. Step 5: Solve for x
    x = 64,528,477.07/8,414.34
  6. Step 6: Final answer
    x = 7,668.87

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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.