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Finding the Fourth Proportional to 3,072.59, 4,607.52 and 880.82

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Solution

The fourth proportional to 3,072.59, 4,607.52 and 880.82 is: 1,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.59 : 4,607.52 = 880.82 : x
  2. Step 2: Convert to fraction form
    3,072.59/4,607.52 = 880.82/x
  3. Step 3: Cross multiply
    3,072.59x = 4,607.52 × 880.82
  4. Step 4: Simplify right side
    3,072.59x = 4,058,395.77
  5. Step 5: Solve for x
    x = 4,058,395.77/3,072.59
  6. Step 6: Final answer
    x = 1,320.84

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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.