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Finding the Fourth Proportional to 2,663.81, 3,675.31 and 1,719.63

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Solution

The fourth proportional to 2,663.81, 3,675.31 and 1,719.63 is: 2,372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.81 : 3,675.31 = 1,719.63 : x
  2. Step 2: Convert to fraction form
    2,663.81/3,675.31 = 1,719.63/x
  3. Step 3: Cross multiply
    2,663.81x = 3,675.31 × 1,719.63
  4. Step 4: Simplify right side
    2,663.81x = 6,320,169.04
  5. Step 5: Solve for x
    x = 6,320,169.04/2,663.81
  6. Step 6: Final answer
    x = 2,372.61

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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.