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Finding the Fourth Proportional to 2,756.71, 3,802.16 and 1,917.41

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Solution

The fourth proportional to 2,756.71, 3,802.16 and 1,917.41 is: 2,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.71 : 3,802.16 = 1,917.41 : x
  2. Step 2: Convert to fraction form
    2,756.71/3,802.16 = 1,917.41/x
  3. Step 3: Cross multiply
    2,756.71x = 3,802.16 × 1,917.41
  4. Step 4: Simplify right side
    2,756.71x = 7,290,290.02
  5. Step 5: Solve for x
    x = 7,290,290.02/2,756.71
  6. Step 6: Final answer
    x = 2,644.57

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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.