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Finding the Fourth Proportional to 7,851, 11,775.63 and 2,304.39

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Solution

The fourth proportional to 7,851, 11,775.63 and 2,304.39 is: 3,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851 : 11,775.63 = 2,304.39 : x
  2. Step 2: Convert to fraction form
    7,851/11,775.63 = 2,304.39/x
  3. Step 3: Cross multiply
    7,851x = 11,775.63 × 2,304.39
  4. Step 4: Simplify right side
    7,851x = 27,135,644.02
  5. Step 5: Solve for x
    x = 27,135,644.02/7,851
  6. Step 6: Final answer
    x = 3,456.33

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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.