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Finding the Fourth Proportional to 6,919.42, 10,416.07 and 6,205

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Solution

The fourth proportional to 6,919.42, 10,416.07 and 6,205 is: 9,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.42 : 10,416.07 = 6,205 : x
  2. Step 2: Convert to fraction form
    6,919.42/10,416.07 = 6,205/x
  3. Step 3: Cross multiply
    6,919.42x = 10,416.07 × 6,205
  4. Step 4: Simplify right side
    6,919.42x = 64,631,714.35
  5. Step 5: Solve for x
    x = 64,631,714.35/6,919.42
  6. Step 6: Final answer
    x = 9,340.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.