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Finding the Fourth Proportional to 3,761.98, 5,642.87 and 1,570.66

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Solution

The fourth proportional to 3,761.98, 5,642.87 and 1,570.66 is: 2,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.98 : 5,642.87 = 1,570.66 : x
  2. Step 2: Convert to fraction form
    3,761.98/5,642.87 = 1,570.66/x
  3. Step 3: Cross multiply
    3,761.98x = 5,642.87 × 1,570.66
  4. Step 4: Simplify right side
    3,761.98x = 8,863,008.23
  5. Step 5: Solve for x
    x = 8,863,008.23/3,761.98
  6. Step 6: Final answer
    x = 2,355.94

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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.