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Finding the Fourth Proportional to 7,102.88, 10,655.88 and 2,104.86

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Solution

The fourth proportional to 7,102.88, 10,655.88 and 2,104.86 is: 3,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.88 : 10,655.88 = 2,104.86 : x
  2. Step 2: Convert to fraction form
    7,102.88/10,655.88 = 2,104.86/x
  3. Step 3: Cross multiply
    7,102.88x = 10,655.88 × 2,104.86
  4. Step 4: Simplify right side
    7,102.88x = 22,429,135.58
  5. Step 5: Solve for x
    x = 22,429,135.58/7,102.88
  6. Step 6: Final answer
    x = 3,157.75

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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.