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Finding the Fourth Proportional to 2,874.80, 4,307.40 and 1,900.40

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Solution

The fourth proportional to 2,874.80, 4,307.40 and 1,900.40 is: 2,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.80 : 4,307.40 = 1,900.40 : x
  2. Step 2: Convert to fraction form
    2,874.80/4,307.40 = 1,900.40/x
  3. Step 3: Cross multiply
    2,874.80x = 4,307.40 × 1,900.40
  4. Step 4: Simplify right side
    2,874.80x = 8,185,782.96
  5. Step 5: Solve for x
    x = 8,185,782.96/2,874.80
  6. Step 6: Final answer
    x = 2,847.43

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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.