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Finding the Fourth Proportional to 2,740.99, 3,782.55 and 1,561.99

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Solution

The fourth proportional to 2,740.99, 3,782.55 and 1,561.99 is: 2,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.99 : 3,782.55 = 1,561.99 : x
  2. Step 2: Convert to fraction form
    2,740.99/3,782.55 = 1,561.99/x
  3. Step 3: Cross multiply
    2,740.99x = 3,782.55 × 1,561.99
  4. Step 4: Simplify right side
    2,740.99x = 5,908,305.27
  5. Step 5: Solve for x
    x = 5,908,305.27/2,740.99
  6. Step 6: Final answer
    x = 2,155.54

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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.