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Finding the Fourth Proportional to 5,673.72, 7,828.59 and 3,315.41

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Solution

The fourth proportional to 5,673.72, 7,828.59 and 3,315.41 is: 4,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.72 : 7,828.59 = 3,315.41 : x
  2. Step 2: Convert to fraction form
    5,673.72/7,828.59 = 3,315.41/x
  3. Step 3: Cross multiply
    5,673.72x = 7,828.59 × 3,315.41
  4. Step 4: Simplify right side
    5,673.72x = 25,954,985.57
  5. Step 5: Solve for x
    x = 25,954,985.57/5,673.72
  6. Step 6: Final answer
    x = 4,574.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.