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Finding the Fourth Proportional to 2,807.64, 3,874.08 and 1,968.08

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Solution

The fourth proportional to 2,807.64, 3,874.08 and 1,968.08 is: 2,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.64 : 3,874.08 = 1,968.08 : x
  2. Step 2: Convert to fraction form
    2,807.64/3,874.08 = 1,968.08/x
  3. Step 3: Cross multiply
    2,807.64x = 3,874.08 × 1,968.08
  4. Step 4: Simplify right side
    2,807.64x = 7,624,499.37
  5. Step 5: Solve for x
    x = 7,624,499.37/2,807.64
  6. Step 6: Final answer
    x = 2,715.63

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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.