Home / 6,342-8,746.59-3,823.56

Finding the Fourth Proportional to 6,342, 8,746.59 and 3,823.56

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Solution

The fourth proportional to 6,342, 8,746.59 and 3,823.56 is: 5,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342 : 8,746.59 = 3,823.56 : x
  2. Step 2: Convert to fraction form
    6,342/8,746.59 = 3,823.56/x
  3. Step 3: Cross multiply
    6,342x = 8,746.59 × 3,823.56
  4. Step 4: Simplify right side
    6,342x = 33,443,111.66
  5. Step 5: Solve for x
    x = 33,443,111.66/6,342
  6. Step 6: Final answer
    x = 5,273.28

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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.