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Finding the Fourth Proportional to 2,392.40, 3,592.20 and 1,845.20

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Solution

The fourth proportional to 2,392.40, 3,592.20 and 1,845.20 is: 2,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.40 : 3,592.20 = 1,845.20 : x
  2. Step 2: Convert to fraction form
    2,392.40/3,592.20 = 1,845.20/x
  3. Step 3: Cross multiply
    2,392.40x = 3,592.20 × 1,845.20
  4. Step 4: Simplify right side
    2,392.40x = 6,628,327.44
  5. Step 5: Solve for x
    x = 6,628,327.44/2,392.40
  6. Step 6: Final answer
    x = 2,770.58

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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.