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Finding the Fourth Proportional to 7,761, 10,710.18 and 4,449

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Solution

The fourth proportional to 7,761, 10,710.18 and 4,449 is: 6,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761 : 10,710.18 = 4,449 : x
  2. Step 2: Convert to fraction form
    7,761/10,710.18 = 4,449/x
  3. Step 3: Cross multiply
    7,761x = 10,710.18 × 4,449
  4. Step 4: Simplify right side
    7,761x = 47,649,590.82
  5. Step 5: Solve for x
    x = 47,649,590.82/7,761
  6. Step 6: Final answer
    x = 6,139.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.