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Finding the Fourth Proportional to 1,861.92, 2,568.96 and 1,075.92

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Solution

The fourth proportional to 1,861.92, 2,568.96 and 1,075.92 is: 1,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.92 : 2,568.96 = 1,075.92 : x
  2. Step 2: Convert to fraction form
    1,861.92/2,568.96 = 1,075.92/x
  3. Step 3: Cross multiply
    1,861.92x = 2,568.96 × 1,075.92
  4. Step 4: Simplify right side
    1,861.92x = 2,763,995.44
  5. Step 5: Solve for x
    x = 2,763,995.44/1,861.92
  6. Step 6: Final answer
    x = 1,484.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.