Home / 1,828.34-2,742.77-1,048.20

Finding the Fourth Proportional to 1,828.34, 2,742.77 and 1,048.20

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Solution

The fourth proportional to 1,828.34, 2,742.77 and 1,048.20 is: 1,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.34 : 2,742.77 = 1,048.20 : x
  2. Step 2: Convert to fraction form
    1,828.34/2,742.77 = 1,048.20/x
  3. Step 3: Cross multiply
    1,828.34x = 2,742.77 × 1,048.20
  4. Step 4: Simplify right side
    1,828.34x = 2,874,971.51
  5. Step 5: Solve for x
    x = 2,874,971.51/1,828.34
  6. Step 6: Final answer
    x = 1,572.45

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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.