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Finding the Fourth Proportional to 2,922.77, 4,384.16 and 1,278.88

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Solution

The fourth proportional to 2,922.77, 4,384.16 and 1,278.88 is: 1,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.77 : 4,384.16 = 1,278.88 : x
  2. Step 2: Convert to fraction form
    2,922.77/4,384.16 = 1,278.88/x
  3. Step 3: Cross multiply
    2,922.77x = 4,384.16 × 1,278.88
  4. Step 4: Simplify right side
    2,922.77x = 5,606,797.19
  5. Step 5: Solve for x
    x = 5,606,797.19/2,922.77
  6. Step 6: Final answer
    x = 1,918.31

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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.