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Finding the Fourth Proportional to 2,663.60, 3,991.60 and 1,964.76

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Solution

The fourth proportional to 2,663.60, 3,991.60 and 1,964.76 is: 2,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.60 : 3,991.60 = 1,964.76 : x
  2. Step 2: Convert to fraction form
    2,663.60/3,991.60 = 1,964.76/x
  3. Step 3: Cross multiply
    2,663.60x = 3,991.60 × 1,964.76
  4. Step 4: Simplify right side
    2,663.60x = 7,842,536.02
  5. Step 5: Solve for x
    x = 7,842,536.02/2,663.60
  6. Step 6: Final answer
    x = 2,944.34

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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.