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Finding the Fourth Proportional to 8,307, 12,460.56 and 2,151

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Solution

The fourth proportional to 8,307, 12,460.56 and 2,151 is: 3,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307 : 12,460.56 = 2,151 : x
  2. Step 2: Convert to fraction form
    8,307/12,460.56 = 2,151/x
  3. Step 3: Cross multiply
    8,307x = 12,460.56 × 2,151
  4. Step 4: Simplify right side
    8,307x = 26,802,664.56
  5. Step 5: Solve for x
    x = 26,802,664.56/8,307
  6. Step 6: Final answer
    x = 3,226.52

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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.