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Finding the Fourth Proportional to 30,551.76, 42,164.15 and 17,804.25

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Solution

The fourth proportional to 30,551.76, 42,164.15 and 17,804.25 is: 24,571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,551.76 : 42,164.15 = 17,804.25 : x
  2. Step 2: Convert to fraction form
    30,551.76/42,164.15 = 17,804.25/x
  3. Step 3: Cross multiply
    30,551.76x = 42,164.15 × 17,804.25
  4. Step 4: Simplify right side
    30,551.76x = 750,701,067.64
  5. Step 5: Solve for x
    x = 750,701,067.64/30,551.76
  6. Step 6: Final answer
    x = 24,571.45

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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.