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Finding the Fourth Proportional to 3,172.16, 4,368 and 2,776.88

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Solution

The fourth proportional to 3,172.16, 4,368 and 2,776.88 is: 3,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.16 : 4,368 = 2,776.88 : x
  2. Step 2: Convert to fraction form
    3,172.16/4,368 = 2,776.88/x
  3. Step 3: Cross multiply
    3,172.16x = 4,368 × 2,776.88
  4. Step 4: Simplify right side
    3,172.16x = 12,129,411.84
  5. Step 5: Solve for x
    x = 12,129,411.84/3,172.16
  6. Step 6: Final answer
    x = 3,823.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.