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Finding the Fourth Proportional to 4,840.96, 7,257.60 and 1,920

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Solution

The fourth proportional to 4,840.96, 7,257.60 and 1,920 is: 2,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.96 : 7,257.60 = 1,920 : x
  2. Step 2: Convert to fraction form
    4,840.96/7,257.60 = 1,920/x
  3. Step 3: Cross multiply
    4,840.96x = 7,257.60 × 1,920
  4. Step 4: Simplify right side
    4,840.96x = 13,934,592
  5. Step 5: Solve for x
    x = 13,934,592/4,840.96
  6. Step 6: Final answer
    x = 2,878.48

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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.