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Finding the Fourth Proportional to 1,846.26, 2,769.42 and 978.78

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Solution

The fourth proportional to 1,846.26, 2,769.42 and 978.78 is: 1,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.26 : 2,769.42 = 978.78 : x
  2. Step 2: Convert to fraction form
    1,846.26/2,769.42 = 978.78/x
  3. Step 3: Cross multiply
    1,846.26x = 2,769.42 × 978.78
  4. Step 4: Simplify right side
    1,846.26x = 2,710,652.91
  5. Step 5: Solve for x
    x = 2,710,652.91/1,846.26
  6. Step 6: Final answer
    x = 1,468.19

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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.