Home / 1,623.40-2,435.26-978.24

Finding the Fourth Proportional to 1,623.40, 2,435.26 and 978.24

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Solution

The fourth proportional to 1,623.40, 2,435.26 and 978.24 is: 1,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.40 : 2,435.26 = 978.24 : x
  2. Step 2: Convert to fraction form
    1,623.40/2,435.26 = 978.24/x
  3. Step 3: Cross multiply
    1,623.40x = 2,435.26 × 978.24
  4. Step 4: Simplify right side
    1,623.40x = 2,382,268.74
  5. Step 5: Solve for x
    x = 2,382,268.74/1,623.40
  6. Step 6: Final answer
    x = 1,467.46

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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.