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Finding the Fourth Proportional to 3,179.76, 4,771.26 and 1,448.16

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Solution

The fourth proportional to 3,179.76, 4,771.26 and 1,448.16 is: 2,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.76 : 4,771.26 = 1,448.16 : x
  2. Step 2: Convert to fraction form
    3,179.76/4,771.26 = 1,448.16/x
  3. Step 3: Cross multiply
    3,179.76x = 4,771.26 × 1,448.16
  4. Step 4: Simplify right side
    3,179.76x = 6,909,547.88
  5. Step 5: Solve for x
    x = 6,909,547.88/3,179.76
  6. Step 6: Final answer
    x = 2,172.98

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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.