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Finding the Fourth Proportional to 2,756.82, 3,802.46 and 1,871.08

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Solution

The fourth proportional to 2,756.82, 3,802.46 and 1,871.08 is: 2,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.82 : 3,802.46 = 1,871.08 : x
  2. Step 2: Convert to fraction form
    2,756.82/3,802.46 = 1,871.08/x
  3. Step 3: Cross multiply
    2,756.82x = 3,802.46 × 1,871.08
  4. Step 4: Simplify right side
    2,756.82x = 7,114,706.86
  5. Step 5: Solve for x
    x = 7,114,706.86/2,756.82
  6. Step 6: Final answer
    x = 2,580.77

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