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Finding the Fourth Proportional to 2,552, 3,830.72 and 1,091.84

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Solution

The fourth proportional to 2,552, 3,830.72 and 1,091.84 is: 1,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552 : 3,830.72 = 1,091.84 : x
  2. Step 2: Convert to fraction form
    2,552/3,830.72 = 1,091.84/x
  3. Step 3: Cross multiply
    2,552x = 3,830.72 × 1,091.84
  4. Step 4: Simplify right side
    2,552x = 4,182,533.32
  5. Step 5: Solve for x
    x = 4,182,533.32/2,552
  6. Step 6: Final answer
    x = 1,638.92

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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.