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Finding the Fourth Proportional to 3,169.10, 4,753.20 and 978.05

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Solution

The fourth proportional to 3,169.10, 4,753.20 and 978.05 is: 1,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.10 : 4,753.20 = 978.05 : x
  2. Step 2: Convert to fraction form
    3,169.10/4,753.20 = 978.05/x
  3. Step 3: Cross multiply
    3,169.10x = 4,753.20 × 978.05
  4. Step 4: Simplify right side
    3,169.10x = 4,648,867.26
  5. Step 5: Solve for x
    x = 4,648,867.26/3,169.10
  6. Step 6: Final answer
    x = 1,466.94

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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.