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Finding the Fourth Proportional to 2,778, 3,834.04 and 1,716.32

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Solution

The fourth proportional to 2,778, 3,834.04 and 1,716.32 is: 2,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778 : 3,834.04 = 1,716.32 : x
  2. Step 2: Convert to fraction form
    2,778/3,834.04 = 1,716.32/x
  3. Step 3: Cross multiply
    2,778x = 3,834.04 × 1,716.32
  4. Step 4: Simplify right side
    2,778x = 6,580,439.53
  5. Step 5: Solve for x
    x = 6,580,439.53/2,778
  6. Step 6: Final answer
    x = 2,368.77

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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.