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Finding the Fourth Proportional to 7,769, 11,647.74 and 4,998.76

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Solution

The fourth proportional to 7,769, 11,647.74 and 4,998.76 is: 7,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769 : 11,647.74 = 4,998.76 : x
  2. Step 2: Convert to fraction form
    7,769/11,647.74 = 4,998.76/x
  3. Step 3: Cross multiply
    7,769x = 11,647.74 × 4,998.76
  4. Step 4: Simplify right side
    7,769x = 58,224,256.80
  5. Step 5: Solve for x
    x = 58,224,256.80/7,769
  6. Step 6: Final answer
    x = 7,494.43

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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.