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Finding the Fourth Proportional to 7,138.60, 10,703.10 and 3,807.40

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Solution

The fourth proportional to 7,138.60, 10,703.10 and 3,807.40 is: 5,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.60 : 10,703.10 = 3,807.40 : x
  2. Step 2: Convert to fraction form
    7,138.60/10,703.10 = 3,807.40/x
  3. Step 3: Cross multiply
    7,138.60x = 10,703.10 × 3,807.40
  4. Step 4: Simplify right side
    7,138.60x = 40,750,982.94
  5. Step 5: Solve for x
    x = 40,750,982.94/7,138.60
  6. Step 6: Final answer
    x = 5,708.54

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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.