Home / 7,022.13-10,533.80-1,828

Finding the Fourth Proportional to 7,022.13, 10,533.80 and 1,828

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Solution

The fourth proportional to 7,022.13, 10,533.80 and 1,828 is: 2,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.13 : 10,533.80 = 1,828 : x
  2. Step 2: Convert to fraction form
    7,022.13/10,533.80 = 1,828/x
  3. Step 3: Cross multiply
    7,022.13x = 10,533.80 × 1,828
  4. Step 4: Simplify right side
    7,022.13x = 19,255,786.40
  5. Step 5: Solve for x
    x = 19,255,786.40/7,022.13
  6. Step 6: Final answer
    x = 2,742.16

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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.