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Finding the Fourth Proportional to 5,661.76, 7,813.05 and 3,109.51

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Solution

The fourth proportional to 5,661.76, 7,813.05 and 3,109.51 is: 4,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.76 : 7,813.05 = 3,109.51 : x
  2. Step 2: Convert to fraction form
    5,661.76/7,813.05 = 3,109.51/x
  3. Step 3: Cross multiply
    5,661.76x = 7,813.05 × 3,109.51
  4. Step 4: Simplify right side
    5,661.76x = 24,294,737.57
  5. Step 5: Solve for x
    x = 24,294,737.57/5,661.76
  6. Step 6: Final answer
    x = 4,291.02

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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.