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Finding the Fourth Proportional to 2,883.36, 3,978 and 2,604

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Solution

The fourth proportional to 2,883.36, 3,978 and 2,604 is: 3,592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.36 : 3,978 = 2,604 : x
  2. Step 2: Convert to fraction form
    2,883.36/3,978 = 2,604/x
  3. Step 3: Cross multiply
    2,883.36x = 3,978 × 2,604
  4. Step 4: Simplify right side
    2,883.36x = 10,358,712
  5. Step 5: Solve for x
    x = 10,358,712/2,883.36
  6. Step 6: Final answer
    x = 3,592.58

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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.