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Finding the Fourth Proportional to 3,156.82, 4,356.50 and 1,759.57

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Solution

The fourth proportional to 3,156.82, 4,356.50 and 1,759.57 is: 2,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.82 : 4,356.50 = 1,759.57 : x
  2. Step 2: Convert to fraction form
    3,156.82/4,356.50 = 1,759.57/x
  3. Step 3: Cross multiply
    3,156.82x = 4,356.50 × 1,759.57
  4. Step 4: Simplify right side
    3,156.82x = 7,665,566.71
  5. Step 5: Solve for x
    x = 7,665,566.71/3,156.82
  6. Step 6: Final answer
    x = 2,428.26

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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.