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Finding the Fourth Proportional to 5,673.70, 8,509 and 3,590.58

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Solution

The fourth proportional to 5,673.70, 8,509 and 3,590.58 is: 5,384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.70 : 8,509 = 3,590.58 : x
  2. Step 2: Convert to fraction form
    5,673.70/8,509 = 3,590.58/x
  3. Step 3: Cross multiply
    5,673.70x = 8,509 × 3,590.58
  4. Step 4: Simplify right side
    5,673.70x = 30,552,245.22
  5. Step 5: Solve for x
    x = 30,552,245.22/5,673.70
  6. Step 6: Final answer
    x = 5,384.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.