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Finding the Fourth Proportional to 7,102.63, 10,657.02 and 3,811.88

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Solution

The fourth proportional to 7,102.63, 10,657.02 and 3,811.88 is: 5,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.63 : 10,657.02 = 3,811.88 : x
  2. Step 2: Convert to fraction form
    7,102.63/10,657.02 = 3,811.88/x
  3. Step 3: Cross multiply
    7,102.63x = 10,657.02 × 3,811.88
  4. Step 4: Simplify right side
    7,102.63x = 40,623,230.23
  5. Step 5: Solve for x
    x = 40,623,230.23/7,102.63
  6. Step 6: Final answer
    x = 5,719.46

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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.