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Finding the Fourth Proportional to 7,103.76, 10,657 and 3,403.48

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Solution

The fourth proportional to 7,103.76, 10,657 and 3,403.48 is: 5,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.76 : 10,657 = 3,403.48 : x
  2. Step 2: Convert to fraction form
    7,103.76/10,657 = 3,403.48/x
  3. Step 3: Cross multiply
    7,103.76x = 10,657 × 3,403.48
  4. Step 4: Simplify right side
    7,103.76x = 36,270,886.36
  5. Step 5: Solve for x
    x = 36,270,886.36/7,103.76
  6. Step 6: Final answer
    x = 5,105.87

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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.