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Finding the Fourth Proportional to 7,103.70, 10,657.92 and 3,154.47

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Solution

The fourth proportional to 7,103.70, 10,657.92 and 3,154.47 is: 4,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.70 : 10,657.92 = 3,154.47 : x
  2. Step 2: Convert to fraction form
    7,103.70/10,657.92 = 3,154.47/x
  3. Step 3: Cross multiply
    7,103.70x = 10,657.92 × 3,154.47
  4. Step 4: Simplify right side
    7,103.70x = 33,620,088.90
  5. Step 5: Solve for x
    x = 33,620,088.90/7,103.70
  6. Step 6: Final answer
    x = 4,732.76

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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.