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Finding the Fourth Proportional to 2,833.84, 3,899.64 and 2,756.08

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Solution

The fourth proportional to 2,833.84, 3,899.64 and 2,756.08 is: 3,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.84 : 3,899.64 = 2,756.08 : x
  2. Step 2: Convert to fraction form
    2,833.84/3,899.64 = 2,756.08/x
  3. Step 3: Cross multiply
    2,833.84x = 3,899.64 × 2,756.08
  4. Step 4: Simplify right side
    2,833.84x = 10,747,719.81
  5. Step 5: Solve for x
    x = 10,747,719.81/2,833.84
  6. Step 6: Final answer
    x = 3,792.63

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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.