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Finding the Fourth Proportional to 6,415.44, 8,858.84 and 4,938

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Solution

The fourth proportional to 6,415.44, 8,858.84 and 4,938 is: 6,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.44 : 8,858.84 = 4,938 : x
  2. Step 2: Convert to fraction form
    6,415.44/8,858.84 = 4,938/x
  3. Step 3: Cross multiply
    6,415.44x = 8,858.84 × 4,938
  4. Step 4: Simplify right side
    6,415.44x = 43,744,951.92
  5. Step 5: Solve for x
    x = 43,744,951.92/6,415.44
  6. Step 6: Final answer
    x = 6,818.70

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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.