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Finding the Fourth Proportional to 6,419.70, 8,855.73 and 4,426.74

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Solution

The fourth proportional to 6,419.70, 8,855.73 and 4,426.74 is: 6,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.70 : 8,855.73 = 4,426.74 : x
  2. Step 2: Convert to fraction form
    6,419.70/8,855.73 = 4,426.74/x
  3. Step 3: Cross multiply
    6,419.70x = 8,855.73 × 4,426.74
  4. Step 4: Simplify right side
    6,419.70x = 39,202,014.22
  5. Step 5: Solve for x
    x = 39,202,014.22/6,419.70
  6. Step 6: Final answer
    x = 6,106.52

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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.