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Finding the Fourth Proportional to 2,948.88, 4,420.48 and 1,099.48

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Solution

The fourth proportional to 2,948.88, 4,420.48 and 1,099.48 is: 1,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.88 : 4,420.48 = 1,099.48 : x
  2. Step 2: Convert to fraction form
    2,948.88/4,420.48 = 1,099.48/x
  3. Step 3: Cross multiply
    2,948.88x = 4,420.48 × 1,099.48
  4. Step 4: Simplify right side
    2,948.88x = 4,860,229.35
  5. Step 5: Solve for x
    x = 4,860,229.35/2,948.88
  6. Step 6: Final answer
    x = 1,648.16

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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.