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Finding the Fourth Proportional to 2,651.48, 3,975.93 and 802.25

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Solution

The fourth proportional to 2,651.48, 3,975.93 and 802.25 is: 1,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.48 : 3,975.93 = 802.25 : x
  2. Step 2: Convert to fraction form
    2,651.48/3,975.93 = 802.25/x
  3. Step 3: Cross multiply
    2,651.48x = 3,975.93 × 802.25
  4. Step 4: Simplify right side
    2,651.48x = 3,189,669.96
  5. Step 5: Solve for x
    x = 3,189,669.96/2,651.48
  6. Step 6: Final answer
    x = 1,202.98

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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.