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Finding the Fourth Proportional to 1,509.65, 2,084.49 and 978.78

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Solution

The fourth proportional to 1,509.65, 2,084.49 and 978.78 is: 1,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.65 : 2,084.49 = 978.78 : x
  2. Step 2: Convert to fraction form
    1,509.65/2,084.49 = 978.78/x
  3. Step 3: Cross multiply
    1,509.65x = 2,084.49 × 978.78
  4. Step 4: Simplify right side
    1,509.65x = 2,040,257.12
  5. Step 5: Solve for x
    x = 2,040,257.12/1,509.65
  6. Step 6: Final answer
    x = 1,351.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.