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Finding the Fourth Proportional to 2,756.63, 3,805.11 and 2,014.40

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Solution

The fourth proportional to 2,756.63, 3,805.11 and 2,014.40 is: 2,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.63 : 3,805.11 = 2,014.40 : x
  2. Step 2: Convert to fraction form
    2,756.63/3,805.11 = 2,014.40/x
  3. Step 3: Cross multiply
    2,756.63x = 3,805.11 × 2,014.40
  4. Step 4: Simplify right side
    2,756.63x = 7,665,023.10
  5. Step 5: Solve for x
    x = 7,665,023.10/2,756.63
  6. Step 6: Final answer
    x = 2,780.57

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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.