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Finding the Fourth Proportional to 7,913, 11,851.66 and 5,940.84

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Solution

The fourth proportional to 7,913, 11,851.66 and 5,940.84 is: 8,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913 : 11,851.66 = 5,940.84 : x
  2. Step 2: Convert to fraction form
    7,913/11,851.66 = 5,940.84/x
  3. Step 3: Cross multiply
    7,913x = 11,851.66 × 5,940.84
  4. Step 4: Simplify right side
    7,913x = 70,408,815.79
  5. Step 5: Solve for x
    x = 70,408,815.79/7,913
  6. Step 6: Final answer
    x = 8,897.87

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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.