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Finding the Fourth Proportional to 6,377.74, 9,558.34 and 4,721.09

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Solution

The fourth proportional to 6,377.74, 9,558.34 and 4,721.09 is: 7,075.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.74 : 9,558.34 = 4,721.09 : x
  2. Step 2: Convert to fraction form
    6,377.74/9,558.34 = 4,721.09/x
  3. Step 3: Cross multiply
    6,377.74x = 9,558.34 × 4,721.09
  4. Step 4: Simplify right side
    6,377.74x = 45,125,723.80
  5. Step 5: Solve for x
    x = 45,125,723.80/6,377.74
  6. Step 6: Final answer
    x = 7,075.51

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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.