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Finding the Fourth Proportional to 2,907.78, 4,014 and 2,023.26

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Solution

The fourth proportional to 2,907.78, 4,014 and 2,023.26 is: 2,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.78 : 4,014 = 2,023.26 : x
  2. Step 2: Convert to fraction form
    2,907.78/4,014 = 2,023.26/x
  3. Step 3: Cross multiply
    2,907.78x = 4,014 × 2,023.26
  4. Step 4: Simplify right side
    2,907.78x = 8,121,365.64
  5. Step 5: Solve for x
    x = 8,121,365.64/2,907.78
  6. Step 6: Final answer
    x = 2,792.98

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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.