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Finding the Fourth Proportional to 1,361.08, 2,040 and 947.98

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Solution

The fourth proportional to 1,361.08, 2,040 and 947.98 is: 1,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.08 : 2,040 = 947.98 : x
  2. Step 2: Convert to fraction form
    1,361.08/2,040 = 947.98/x
  3. Step 3: Cross multiply
    1,361.08x = 2,040 × 947.98
  4. Step 4: Simplify right side
    1,361.08x = 1,933,879.20
  5. Step 5: Solve for x
    x = 1,933,879.20/1,361.08
  6. Step 6: Final answer
    x = 1,420.84

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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.