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Finding the Fourth Proportional to 2,756.95, 3,800.10 and 1,872.43

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Solution

The fourth proportional to 2,756.95, 3,800.10 and 1,872.43 is: 2,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.95 : 3,800.10 = 1,872.43 : x
  2. Step 2: Convert to fraction form
    2,756.95/3,800.10 = 1,872.43/x
  3. Step 3: Cross multiply
    2,756.95x = 3,800.10 × 1,872.43
  4. Step 4: Simplify right side
    2,756.95x = 7,115,421.24
  5. Step 5: Solve for x
    x = 7,115,421.24/2,756.95
  6. Step 6: Final answer
    x = 2,580.90

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1.5x scale

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.