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Finding the Fourth Proportional to 2,144, 2,959.04 and 1,316.48

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Solution

The fourth proportional to 2,144, 2,959.04 and 1,316.48 is: 1,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144 : 2,959.04 = 1,316.48 : x
  2. Step 2: Convert to fraction form
    2,144/2,959.04 = 1,316.48/x
  3. Step 3: Cross multiply
    2,144x = 2,959.04 × 1,316.48
  4. Step 4: Simplify right side
    2,144x = 3,895,516.98
  5. Step 5: Solve for x
    x = 3,895,516.98/2,144
  6. Step 6: Final answer
    x = 1,816.94

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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.