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Finding the Fourth Proportional to 3,415.25, 4,713.42 and 1,923.53

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Solution

The fourth proportional to 3,415.25, 4,713.42 and 1,923.53 is: 2,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.25 : 4,713.42 = 1,923.53 : x
  2. Step 2: Convert to fraction form
    3,415.25/4,713.42 = 1,923.53/x
  3. Step 3: Cross multiply
    3,415.25x = 4,713.42 × 1,923.53
  4. Step 4: Simplify right side
    3,415.25x = 9,066,404.77
  5. Step 5: Solve for x
    x = 9,066,404.77/3,415.25
  6. Step 6: Final answer
    x = 2,654.68

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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.