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Finding the Fourth Proportional to 1,965.12, 2,945.76 and 869.76

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Solution

The fourth proportional to 1,965.12, 2,945.76 and 869.76 is: 1,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.12 : 2,945.76 = 869.76 : x
  2. Step 2: Convert to fraction form
    1,965.12/2,945.76 = 869.76/x
  3. Step 3: Cross multiply
    1,965.12x = 2,945.76 × 869.76
  4. Step 4: Simplify right side
    1,965.12x = 2,562,104.22
  5. Step 5: Solve for x
    x = 2,562,104.22/1,965.12
  6. Step 6: Final answer
    x = 1,303.79

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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.