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Finding the Fourth Proportional to 5,853.78, 8,705.39 and 5,669.22

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Solution

The fourth proportional to 5,853.78, 8,705.39 and 5,669.22 is: 8,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.78 : 8,705.39 = 5,669.22 : x
  2. Step 2: Convert to fraction form
    5,853.78/8,705.39 = 5,669.22/x
  3. Step 3: Cross multiply
    5,853.78x = 8,705.39 × 5,669.22
  4. Step 4: Simplify right side
    5,853.78x = 49,352,771.10
  5. Step 5: Solve for x
    x = 49,352,771.10/5,853.78
  6. Step 6: Final answer
    x = 8,430.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.