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Finding the Fourth Proportional to 5,678.96, 7,834.78 and 4,190.42

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Solution

The fourth proportional to 5,678.96, 7,834.78 and 4,190.42 is: 5,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.96 : 7,834.78 = 4,190.42 : x
  2. Step 2: Convert to fraction form
    5,678.96/7,834.78 = 4,190.42/x
  3. Step 3: Cross multiply
    5,678.96x = 7,834.78 × 4,190.42
  4. Step 4: Simplify right side
    5,678.96x = 32,831,043.63
  5. Step 5: Solve for x
    x = 32,831,043.63/5,678.96
  6. Step 6: Final answer
    x = 5,781.18

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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.