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Finding the Fourth Proportional to 13,008, 19,512.84 and 5,215.80

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Solution

The fourth proportional to 13,008, 19,512.84 and 5,215.80 is: 7,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008 : 19,512.84 = 5,215.80 : x
  2. Step 2: Convert to fraction form
    13,008/19,512.84 = 5,215.80/x
  3. Step 3: Cross multiply
    13,008x = 19,512.84 × 5,215.80
  4. Step 4: Simplify right side
    13,008x = 101,775,070.87
  5. Step 5: Solve for x
    x = 101,775,070.87/13,008
  6. Step 6: Final answer
    x = 7,824.04

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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.