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Finding the Fourth Proportional to 6,937.60, 10,407.30 and 3,429.40

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Solution

The fourth proportional to 6,937.60, 10,407.30 and 3,429.40 is: 5,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.60 : 10,407.30 = 3,429.40 : x
  2. Step 2: Convert to fraction form
    6,937.60/10,407.30 = 3,429.40/x
  3. Step 3: Cross multiply
    6,937.60x = 10,407.30 × 3,429.40
  4. Step 4: Simplify right side
    6,937.60x = 35,690,794.62
  5. Step 5: Solve for x
    x = 35,690,794.62/6,937.60
  6. Step 6: Final answer
    x = 5,144.54

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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.