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Finding the Fourth Proportional to 2,866.63, 3,956.66 and 1,748.19

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Solution

The fourth proportional to 2,866.63, 3,956.66 and 1,748.19 is: 2,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.63 : 3,956.66 = 1,748.19 : x
  2. Step 2: Convert to fraction form
    2,866.63/3,956.66 = 1,748.19/x
  3. Step 3: Cross multiply
    2,866.63x = 3,956.66 × 1,748.19
  4. Step 4: Simplify right side
    2,866.63x = 6,916,964.92
  5. Step 5: Solve for x
    x = 6,916,964.92/2,866.63
  6. Step 6: Final answer
    x = 2,412.93

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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.