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Finding the Fourth Proportional to 3,319.78, 4,978.56 and 1,675.28

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Solution

The fourth proportional to 3,319.78, 4,978.56 and 1,675.28 is: 2,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.78 : 4,978.56 = 1,675.28 : x
  2. Step 2: Convert to fraction form
    3,319.78/4,978.56 = 1,675.28/x
  3. Step 3: Cross multiply
    3,319.78x = 4,978.56 × 1,675.28
  4. Step 4: Simplify right side
    3,319.78x = 8,340,482.00
  5. Step 5: Solve for x
    x = 8,340,482.00/3,319.78
  6. Step 6: Final answer
    x = 2,512.36

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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.