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Finding the Fourth Proportional to 9,719.40, 13,403.97 and 6,361.14

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Solution

The fourth proportional to 9,719.40, 13,403.97 and 6,361.14 is: 8,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.40 : 13,403.97 = 6,361.14 : x
  2. Step 2: Convert to fraction form
    9,719.40/13,403.97 = 6,361.14/x
  3. Step 3: Cross multiply
    9,719.40x = 13,403.97 × 6,361.14
  4. Step 4: Simplify right side
    9,719.40x = 85,264,529.73
  5. Step 5: Solve for x
    x = 85,264,529.73/9,719.40
  6. Step 6: Final answer
    x = 8,772.61

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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.