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Finding the Fourth Proportional to 2,992.65, 4,486.19 and 1,431.88

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Solution

The fourth proportional to 2,992.65, 4,486.19 and 1,431.88 is: 2,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.65 : 4,486.19 = 1,431.88 : x
  2. Step 2: Convert to fraction form
    2,992.65/4,486.19 = 1,431.88/x
  3. Step 3: Cross multiply
    2,992.65x = 4,486.19 × 1,431.88
  4. Step 4: Simplify right side
    2,992.65x = 6,423,667.36
  5. Step 5: Solve for x
    x = 6,423,667.36/2,992.65
  6. Step 6: Final answer
    x = 2,146.48

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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.