Home / 1,828.89-2,740.77-1,416.14

Finding the Fourth Proportional to 1,828.89, 2,740.77 and 1,416.14

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Solution

The fourth proportional to 1,828.89, 2,740.77 and 1,416.14 is: 2,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.89 : 2,740.77 = 1,416.14 : x
  2. Step 2: Convert to fraction form
    1,828.89/2,740.77 = 1,416.14/x
  3. Step 3: Cross multiply
    1,828.89x = 2,740.77 × 1,416.14
  4. Step 4: Simplify right side
    1,828.89x = 3,881,314.03
  5. Step 5: Solve for x
    x = 3,881,314.03/1,828.89
  6. Step 6: Final answer
    x = 2,122.22

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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.