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Finding the Fourth Proportional to 2,866.83, 3,956.63 and 1,672.21

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Solution

The fourth proportional to 2,866.83, 3,956.63 and 1,672.21 is: 2,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.83 : 3,956.63 = 1,672.21 : x
  2. Step 2: Convert to fraction form
    2,866.83/3,956.63 = 1,672.21/x
  3. Step 3: Cross multiply
    2,866.83x = 3,956.63 × 1,672.21
  4. Step 4: Simplify right side
    2,866.83x = 6,616,316.25
  5. Step 5: Solve for x
    x = 6,616,316.25/2,866.83
  6. Step 6: Final answer
    x = 2,307.89

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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.