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Finding the Fourth Proportional to 2,756.53, 3,804.47 and 2,012.95

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Solution

The fourth proportional to 2,756.53, 3,804.47 and 2,012.95 is: 2,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.53 : 3,804.47 = 2,012.95 : x
  2. Step 2: Convert to fraction form
    2,756.53/3,804.47 = 2,012.95/x
  3. Step 3: Cross multiply
    2,756.53x = 3,804.47 × 2,012.95
  4. Step 4: Simplify right side
    2,756.53x = 7,658,207.89
  5. Step 5: Solve for x
    x = 7,658,207.89/2,756.53
  6. Step 6: Final answer
    x = 2,778.21

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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.