Home / 8,424-11,629.44-5,283.36

Finding the Fourth Proportional to 8,424, 11,629.44 and 5,283.36

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Solution

The fourth proportional to 8,424, 11,629.44 and 5,283.36 is: 7,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424 : 11,629.44 = 5,283.36 : x
  2. Step 2: Convert to fraction form
    8,424/11,629.44 = 5,283.36/x
  3. Step 3: Cross multiply
    8,424x = 11,629.44 × 5,283.36
  4. Step 4: Simplify right side
    8,424x = 61,442,518.12
  5. Step 5: Solve for x
    x = 61,442,518.12/8,424
  6. Step 6: Final answer
    x = 7,293.75

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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.