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Finding the Fourth Proportional to 6,378, 9,567.54 and 1,761

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Solution

The fourth proportional to 6,378, 9,567.54 and 1,761 is: 2,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378 : 9,567.54 = 1,761 : x
  2. Step 2: Convert to fraction form
    6,378/9,567.54 = 1,761/x
  3. Step 3: Cross multiply
    6,378x = 9,567.54 × 1,761
  4. Step 4: Simplify right side
    6,378x = 16,848,437.94
  5. Step 5: Solve for x
    x = 16,848,437.94/6,378
  6. Step 6: Final answer
    x = 2,641.65

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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.