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Finding the Fourth Proportional to 4,378, 6,563.28 and 1,910.98

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Solution

The fourth proportional to 4,378, 6,563.28 and 1,910.98 is: 2,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378 : 6,563.28 = 1,910.98 : x
  2. Step 2: Convert to fraction form
    4,378/6,563.28 = 1,910.98/x
  3. Step 3: Cross multiply
    4,378x = 6,563.28 × 1,910.98
  4. Step 4: Simplify right side
    4,378x = 12,542,296.81
  5. Step 5: Solve for x
    x = 12,542,296.81/4,378
  6. Step 6: Final answer
    x = 2,864.85

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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.