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Finding the Fourth Proportional to 1,924.62, 2,656.02 and 1,179

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Solution

The fourth proportional to 1,924.62, 2,656.02 and 1,179 is: 1,627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.62 : 2,656.02 = 1,179 : x
  2. Step 2: Convert to fraction form
    1,924.62/2,656.02 = 1,179/x
  3. Step 3: Cross multiply
    1,924.62x = 2,656.02 × 1,179
  4. Step 4: Simplify right side
    1,924.62x = 3,131,447.58
  5. Step 5: Solve for x
    x = 3,131,447.58/1,924.62
  6. Step 6: Final answer
    x = 1,627.05

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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.