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Finding the Fourth Proportional to 7,652, 11,479.92 and 2,180

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Solution

The fourth proportional to 7,652, 11,479.92 and 2,180 is: 3,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652 : 11,479.92 = 2,180 : x
  2. Step 2: Convert to fraction form
    7,652/11,479.92 = 2,180/x
  3. Step 3: Cross multiply
    7,652x = 11,479.92 × 2,180
  4. Step 4: Simplify right side
    7,652x = 25,026,225.60
  5. Step 5: Solve for x
    x = 25,026,225.60/7,652
  6. Step 6: Final answer
    x = 3,270.55

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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.