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Finding the Fourth Proportional to 6,415.60, 9,608.10 and 3,118.09

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Solution

The fourth proportional to 6,415.60, 9,608.10 and 3,118.09 is: 4,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.60 : 9,608.10 = 3,118.09 : x
  2. Step 2: Convert to fraction form
    6,415.60/9,608.10 = 3,118.09/x
  3. Step 3: Cross multiply
    6,415.60x = 9,608.10 × 3,118.09
  4. Step 4: Simplify right side
    6,415.60x = 29,958,920.53
  5. Step 5: Solve for x
    x = 29,958,920.53/6,415.60
  6. Step 6: Final answer
    x = 4,669.70

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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.