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Finding the Fourth Proportional to 3,057.86, 4,586.19 and 978.10

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Solution

The fourth proportional to 3,057.86, 4,586.19 and 978.10 is: 1,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.86 : 4,586.19 = 978.10 : x
  2. Step 2: Convert to fraction form
    3,057.86/4,586.19 = 978.10/x
  3. Step 3: Cross multiply
    3,057.86x = 4,586.19 × 978.10
  4. Step 4: Simplify right side
    3,057.86x = 4,485,752.44
  5. Step 5: Solve for x
    x = 4,485,752.44/3,057.86
  6. Step 6: Final answer
    x = 1,466.96

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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.