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Finding the Fourth Proportional to 3,448.62, 4,758.71 and 1,956.15

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Solution

The fourth proportional to 3,448.62, 4,758.71 and 1,956.15 is: 2,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.62 : 4,758.71 = 1,956.15 : x
  2. Step 2: Convert to fraction form
    3,448.62/4,758.71 = 1,956.15/x
  3. Step 3: Cross multiply
    3,448.62x = 4,758.71 × 1,956.15
  4. Step 4: Simplify right side
    3,448.62x = 9,308,740.79
  5. Step 5: Solve for x
    x = 9,308,740.79/3,448.62
  6. Step 6: Final answer
    x = 2,699.27

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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.