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Finding the Fourth Proportional to 2,803.74, 4,202.37 and 1,261.50

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Solution

The fourth proportional to 2,803.74, 4,202.37 and 1,261.50 is: 1,890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.74 : 4,202.37 = 1,261.50 : x
  2. Step 2: Convert to fraction form
    2,803.74/4,202.37 = 1,261.50/x
  3. Step 3: Cross multiply
    2,803.74x = 4,202.37 × 1,261.50
  4. Step 4: Simplify right side
    2,803.74x = 5,301,289.76
  5. Step 5: Solve for x
    x = 5,301,289.76/2,803.74
  6. Step 6: Final answer
    x = 1,890.79

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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.