Home / 1,782.08-2,459.26-996.13

Finding the Fourth Proportional to 1,782.08, 2,459.26 and 996.13

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Solution

The fourth proportional to 1,782.08, 2,459.26 and 996.13 is: 1,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.08 : 2,459.26 = 996.13 : x
  2. Step 2: Convert to fraction form
    1,782.08/2,459.26 = 996.13/x
  3. Step 3: Cross multiply
    1,782.08x = 2,459.26 × 996.13
  4. Step 4: Simplify right side
    1,782.08x = 2,449,734.03
  5. Step 5: Solve for x
    x = 2,449,734.03/1,782.08
  6. Step 6: Final answer
    x = 1,374.65

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1.5x scale

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.