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Finding the Fourth Proportional to 13,212.72, 19,819.08 and 3,978.72

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Solution

The fourth proportional to 13,212.72, 19,819.08 and 3,978.72 is: 5,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.72 : 19,819.08 = 3,978.72 : x
  2. Step 2: Convert to fraction form
    13,212.72/19,819.08 = 3,978.72/x
  3. Step 3: Cross multiply
    13,212.72x = 19,819.08 × 3,978.72
  4. Step 4: Simplify right side
    13,212.72x = 78,854,569.98
  5. Step 5: Solve for x
    x = 78,854,569.98/13,212.72
  6. Step 6: Final answer
    x = 5,968.08

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1.5x scale

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.