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Finding the Fourth Proportional to 12,727.44, 19,081.56 and 8,346

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Solution

The fourth proportional to 12,727.44, 19,081.56 and 8,346 is: 12,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.44 : 19,081.56 = 8,346 : x
  2. Step 2: Convert to fraction form
    12,727.44/19,081.56 = 8,346/x
  3. Step 3: Cross multiply
    12,727.44x = 19,081.56 × 8,346
  4. Step 4: Simplify right side
    12,727.44x = 159,254,699.76
  5. Step 5: Solve for x
    x = 159,254,699.76/12,727.44
  6. Step 6: Final answer
    x = 12,512.70

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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.