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Finding the Fourth Proportional to 19,129.12, 28,695.12 and 5,278

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Solution

The fourth proportional to 19,129.12, 28,695.12 and 5,278 is: 7,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,129.12 : 28,695.12 = 5,278 : x
  2. Step 2: Convert to fraction form
    19,129.12/28,695.12 = 5,278/x
  3. Step 3: Cross multiply
    19,129.12x = 28,695.12 × 5,278
  4. Step 4: Simplify right side
    19,129.12x = 151,452,843.36
  5. Step 5: Solve for x
    x = 151,452,843.36/19,129.12
  6. Step 6: Final answer
    x = 7,917.40

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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.