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Finding the Fourth Proportional to 1,792.71, 2,692.08 and 1,100.76

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Solution

The fourth proportional to 1,792.71, 2,692.08 and 1,100.76 is: 1,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.71 : 2,692.08 = 1,100.76 : x
  2. Step 2: Convert to fraction form
    1,792.71/2,692.08 = 1,100.76/x
  3. Step 3: Cross multiply
    1,792.71x = 2,692.08 × 1,100.76
  4. Step 4: Simplify right side
    1,792.71x = 2,963,333.98
  5. Step 5: Solve for x
    x = 2,963,333.98/1,792.71
  6. Step 6: Final answer
    x = 1,652.99

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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.