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Finding the Fourth Proportional to 2,663.79, 3,992.03 and 1,690.57

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Solution

The fourth proportional to 2,663.79, 3,992.03 and 1,690.57 is: 2,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.79 : 3,992.03 = 1,690.57 : x
  2. Step 2: Convert to fraction form
    2,663.79/3,992.03 = 1,690.57/x
  3. Step 3: Cross multiply
    2,663.79x = 3,992.03 × 1,690.57
  4. Step 4: Simplify right side
    2,663.79x = 6,748,820.36
  5. Step 5: Solve for x
    x = 6,748,820.36/2,663.79
  6. Step 6: Final answer
    x = 2,533.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.