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Finding the Fourth Proportional to 2,663.84, 3,995.94 and 1,277.48

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Solution

The fourth proportional to 2,663.84, 3,995.94 and 1,277.48 is: 1,916.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.84 : 3,995.94 = 1,277.48 : x
  2. Step 2: Convert to fraction form
    2,663.84/3,995.94 = 1,277.48/x
  3. Step 3: Cross multiply
    2,663.84x = 3,995.94 × 1,277.48
  4. Step 4: Simplify right side
    2,663.84x = 5,104,733.43
  5. Step 5: Solve for x
    x = 5,104,733.43/2,663.84
  6. Step 6: Final answer
    x = 1,916.31

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1.5x scale

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.