Home / 1,830.06-2,744.69-734.13

Finding the Fourth Proportional to 1,830.06, 2,744.69 and 734.13

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Solution

The fourth proportional to 1,830.06, 2,744.69 and 734.13 is: 1,101.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.06 : 2,744.69 = 734.13 : x
  2. Step 2: Convert to fraction form
    1,830.06/2,744.69 = 734.13/x
  3. Step 3: Cross multiply
    1,830.06x = 2,744.69 × 734.13
  4. Step 4: Simplify right side
    1,830.06x = 2,014,955.60
  5. Step 5: Solve for x
    x = 2,014,955.60/1,830.06
  6. Step 6: Final answer
    x = 1,101.03

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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.