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Finding the Fourth Proportional to 1,262.95, 1,896.14 and 871.99

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Solution

The fourth proportional to 1,262.95, 1,896.14 and 871.99 is: 1,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.95 : 1,896.14 = 871.99 : x
  2. Step 2: Convert to fraction form
    1,262.95/1,896.14 = 871.99/x
  3. Step 3: Cross multiply
    1,262.95x = 1,896.14 × 871.99
  4. Step 4: Simplify right side
    1,262.95x = 1,653,412.56
  5. Step 5: Solve for x
    x = 1,653,412.56/1,262.95
  6. Step 6: Final answer
    x = 1,309.17

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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.