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Finding the Fourth Proportional to 7,102.44, 10,655.18 and 2,172.44

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Solution

The fourth proportional to 7,102.44, 10,655.18 and 2,172.44 is: 3,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.44 : 10,655.18 = 2,172.44 : x
  2. Step 2: Convert to fraction form
    7,102.44/10,655.18 = 2,172.44/x
  3. Step 3: Cross multiply
    7,102.44x = 10,655.18 × 2,172.44
  4. Step 4: Simplify right side
    7,102.44x = 23,147,739.24
  5. Step 5: Solve for x
    x = 23,147,739.24/7,102.44
  6. Step 6: Final answer
    x = 3,259.12

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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.