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Finding the Fourth Proportional to 2,754, 3,803.76 and 1,868.27

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Solution

The fourth proportional to 2,754, 3,803.76 and 1,868.27 is: 2,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754 : 3,803.76 = 1,868.27 : x
  2. Step 2: Convert to fraction form
    2,754/3,803.76 = 1,868.27/x
  3. Step 3: Cross multiply
    2,754x = 3,803.76 × 1,868.27
  4. Step 4: Simplify right side
    2,754x = 7,106,431.68
  5. Step 5: Solve for x
    x = 7,106,431.68/2,754
  6. Step 6: Final answer
    x = 2,580.40

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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.