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Finding the Fourth Proportional to 3,242.72, 4,473.40 and 3,116.98

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Solution

The fourth proportional to 3,242.72, 4,473.40 and 3,116.98 is: 4,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.72 : 4,473.40 = 3,116.98 : x
  2. Step 2: Convert to fraction form
    3,242.72/4,473.40 = 3,116.98/x
  3. Step 3: Cross multiply
    3,242.72x = 4,473.40 × 3,116.98
  4. Step 4: Simplify right side
    3,242.72x = 13,943,498.33
  5. Step 5: Solve for x
    x = 13,943,498.33/3,242.72
  6. Step 6: Final answer
    x = 4,299.94

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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.