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Finding the Fourth Proportional to 7,170, 10,758.65 and 3,275.32

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Solution

The fourth proportional to 7,170, 10,758.65 and 3,275.32 is: 4,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170 : 10,758.65 = 3,275.32 : x
  2. Step 2: Convert to fraction form
    7,170/10,758.65 = 3,275.32/x
  3. Step 3: Cross multiply
    7,170x = 10,758.65 × 3,275.32
  4. Step 4: Simplify right side
    7,170x = 35,238,021.52
  5. Step 5: Solve for x
    x = 35,238,021.52/7,170
  6. Step 6: Final answer
    x = 4,914.65

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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.