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Finding the Fourth Proportional to 6,381.18, 9,571.77 and 2,916

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Solution

The fourth proportional to 6,381.18, 9,571.77 and 2,916 is: 4,374

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.18 : 9,571.77 = 2,916 : x
  2. Step 2: Convert to fraction form
    6,381.18/9,571.77 = 2,916/x
  3. Step 3: Cross multiply
    6,381.18x = 9,571.77 × 2,916
  4. Step 4: Simplify right side
    6,381.18x = 27,911,281.32
  5. Step 5: Solve for x
    x = 27,911,281.32/6,381.18
  6. Step 6: Final answer
    x = 4,374

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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.