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Finding the Fourth Proportional to 4,620.84, 6,931.44 and 2,976

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Solution

The fourth proportional to 4,620.84, 6,931.44 and 2,976 is: 4,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.84 : 6,931.44 = 2,976 : x
  2. Step 2: Convert to fraction form
    4,620.84/6,931.44 = 2,976/x
  3. Step 3: Cross multiply
    4,620.84x = 6,931.44 × 2,976
  4. Step 4: Simplify right side
    4,620.84x = 20,627,965.44
  5. Step 5: Solve for x
    x = 20,627,965.44/4,620.84
  6. Step 6: Final answer
    x = 4,464.12

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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.