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Finding the Fourth Proportional to 3,319.08, 4,977.79 and 978.62

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Solution

The fourth proportional to 3,319.08, 4,977.79 and 978.62 is: 1,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.08 : 4,977.79 = 978.62 : x
  2. Step 2: Convert to fraction form
    3,319.08/4,977.79 = 978.62/x
  3. Step 3: Cross multiply
    3,319.08x = 4,977.79 × 978.62
  4. Step 4: Simplify right side
    3,319.08x = 4,871,364.85
  5. Step 5: Solve for x
    x = 4,871,364.85/3,319.08
  6. Step 6: Final answer
    x = 1,467.69

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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.