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Finding the Fourth Proportional to 5,683.35, 7,840.85 and 3,558

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Solution

The fourth proportional to 5,683.35, 7,840.85 and 3,558 is: 4,908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.35 : 7,840.85 = 3,558 : x
  2. Step 2: Convert to fraction form
    5,683.35/7,840.85 = 3,558/x
  3. Step 3: Cross multiply
    5,683.35x = 7,840.85 × 3,558
  4. Step 4: Simplify right side
    5,683.35x = 27,897,744.30
  5. Step 5: Solve for x
    x = 27,897,744.30/5,683.35
  6. Step 6: Final answer
    x = 4,908.68

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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.