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Finding the Fourth Proportional to 3,045.20, 4,202.44 and 1,787.20

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Solution

The fourth proportional to 3,045.20, 4,202.44 and 1,787.20 is: 2,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.20 : 4,202.44 = 1,787.20 : x
  2. Step 2: Convert to fraction form
    3,045.20/4,202.44 = 1,787.20/x
  3. Step 3: Cross multiply
    3,045.20x = 4,202.44 × 1,787.20
  4. Step 4: Simplify right side
    3,045.20x = 7,510,600.77
  5. Step 5: Solve for x
    x = 7,510,600.77/3,045.20
  6. Step 6: Final answer
    x = 2,466.37

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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.