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Finding the Fourth Proportional to 1,623.97, 2,436.09 and 978.80

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Solution

The fourth proportional to 1,623.97, 2,436.09 and 978.80 is: 1,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.97 : 2,436.09 = 978.80 : x
  2. Step 2: Convert to fraction form
    1,623.97/2,436.09 = 978.80/x
  3. Step 3: Cross multiply
    1,623.97x = 2,436.09 × 978.80
  4. Step 4: Simplify right side
    1,623.97x = 2,384,444.89
  5. Step 5: Solve for x
    x = 2,384,444.89/1,623.97
  6. Step 6: Final answer
    x = 1,468.28

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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.