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Finding the Fourth Proportional to 1,850.46, 2,777.05 and 876.56

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Solution

The fourth proportional to 1,850.46, 2,777.05 and 876.56 is: 1,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.46 : 2,777.05 = 876.56 : x
  2. Step 2: Convert to fraction form
    1,850.46/2,777.05 = 876.56/x
  3. Step 3: Cross multiply
    1,850.46x = 2,777.05 × 876.56
  4. Step 4: Simplify right side
    1,850.46x = 2,434,250.95
  5. Step 5: Solve for x
    x = 2,434,250.95/1,850.46
  6. Step 6: Final answer
    x = 1,315.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.