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Finding the Fourth Proportional to 3,170.72, 4,753.70 and 978.16

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Solution

The fourth proportional to 3,170.72, 4,753.70 and 978.16 is: 1,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.72 : 4,753.70 = 978.16 : x
  2. Step 2: Convert to fraction form
    3,170.72/4,753.70 = 978.16/x
  3. Step 3: Cross multiply
    3,170.72x = 4,753.70 × 978.16
  4. Step 4: Simplify right side
    3,170.72x = 4,649,879.19
  5. Step 5: Solve for x
    x = 4,649,879.19/3,170.72
  6. Step 6: Final answer
    x = 1,466.51

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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.