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Finding the Fourth Proportional to 5,291.73, 7,938.50 and 1,782.06

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Solution

The fourth proportional to 5,291.73, 7,938.50 and 1,782.06 is: 2,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.73 : 7,938.50 = 1,782.06 : x
  2. Step 2: Convert to fraction form
    5,291.73/7,938.50 = 1,782.06/x
  3. Step 3: Cross multiply
    5,291.73x = 7,938.50 × 1,782.06
  4. Step 4: Simplify right side
    5,291.73x = 14,146,874.40
  5. Step 5: Solve for x
    x = 14,146,874.40/5,291.73
  6. Step 6: Final answer
    x = 2,673.39

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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.