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Finding the Fourth Proportional to 8,357.76, 11,507.40 and 6,361.92

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Solution

The fourth proportional to 8,357.76, 11,507.40 and 6,361.92 is: 8,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.76 : 11,507.40 = 6,361.92 : x
  2. Step 2: Convert to fraction form
    8,357.76/11,507.40 = 6,361.92/x
  3. Step 3: Cross multiply
    8,357.76x = 11,507.40 × 6,361.92
  4. Step 4: Simplify right side
    8,357.76x = 73,209,158.21
  5. Step 5: Solve for x
    x = 73,209,158.21/8,357.76
  6. Step 6: Final answer
    x = 8,759.42

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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.