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Finding the Fourth Proportional to 3,319.08, 4,978.80 and 1,673.70

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Solution

The fourth proportional to 3,319.08, 4,978.80 and 1,673.70 is: 2,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.08 : 4,978.80 = 1,673.70 : x
  2. Step 2: Convert to fraction form
    3,319.08/4,978.80 = 1,673.70/x
  3. Step 3: Cross multiply
    3,319.08x = 4,978.80 × 1,673.70
  4. Step 4: Simplify right side
    3,319.08x = 8,333,017.56
  5. Step 5: Solve for x
    x = 8,333,017.56/3,319.08
  6. Step 6: Final answer
    x = 2,510.64

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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.