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Finding the Fourth Proportional to 7,105.48, 10,657.84 and 2,175.12

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Solution

The fourth proportional to 7,105.48, 10,657.84 and 2,175.12 is: 3,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.48 : 10,657.84 = 2,175.12 : x
  2. Step 2: Convert to fraction form
    7,105.48/10,657.84 = 2,175.12/x
  3. Step 3: Cross multiply
    7,105.48x = 10,657.84 × 2,175.12
  4. Step 4: Simplify right side
    7,105.48x = 23,182,075.50
  5. Step 5: Solve for x
    x = 23,182,075.50/7,105.48
  6. Step 6: Final answer
    x = 3,262.56

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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.