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Finding the Fourth Proportional to 3,216.88, 4,817.60 and 2,752

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Solution

The fourth proportional to 3,216.88, 4,817.60 and 2,752 is: 4,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.88 : 4,817.60 = 2,752 : x
  2. Step 2: Convert to fraction form
    3,216.88/4,817.60 = 2,752/x
  3. Step 3: Cross multiply
    3,216.88x = 4,817.60 × 2,752
  4. Step 4: Simplify right side
    3,216.88x = 13,258,035.20
  5. Step 5: Solve for x
    x = 13,258,035.20/3,216.88
  6. Step 6: Final answer
    x = 4,121.40

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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.