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Finding the Fourth Proportional to 3,072.06, 4,607.10 and 880.20

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Solution

The fourth proportional to 3,072.06, 4,607.10 and 880.20 is: 1,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.06 : 4,607.10 = 880.20 : x
  2. Step 2: Convert to fraction form
    3,072.06/4,607.10 = 880.20/x
  3. Step 3: Cross multiply
    3,072.06x = 4,607.10 × 880.20
  4. Step 4: Simplify right side
    3,072.06x = 4,055,169.42
  5. Step 5: Solve for x
    x = 4,055,169.42/3,072.06
  6. Step 6: Final answer
    x = 1,320.02

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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.