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Finding the Fourth Proportional to 7,739, 11,610.48 and 2,544.92

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Solution

The fourth proportional to 7,739, 11,610.48 and 2,544.92 is: 3,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739 : 11,610.48 = 2,544.92 : x
  2. Step 2: Convert to fraction form
    7,739/11,610.48 = 2,544.92/x
  3. Step 3: Cross multiply
    7,739x = 11,610.48 × 2,544.92
  4. Step 4: Simplify right side
    7,739x = 29,547,742.76
  5. Step 5: Solve for x
    x = 29,547,742.76/7,739
  6. Step 6: Final answer
    x = 3,818.03

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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.