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Finding the Fourth Proportional to 2,782.74, 3,840.09 and 1,663.42

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Solution

The fourth proportional to 2,782.74, 3,840.09 and 1,663.42 is: 2,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.74 : 3,840.09 = 1,663.42 : x
  2. Step 2: Convert to fraction form
    2,782.74/3,840.09 = 1,663.42/x
  3. Step 3: Cross multiply
    2,782.74x = 3,840.09 × 1,663.42
  4. Step 4: Simplify right side
    2,782.74x = 6,387,682.51
  5. Step 5: Solve for x
    x = 6,387,682.51/2,782.74
  6. Step 6: Final answer
    x = 2,295.47

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1.5x scale

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.