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Finding the Fourth Proportional to 3,399, 4,690.62 and 2,157

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Solution

The fourth proportional to 3,399, 4,690.62 and 2,157 is: 2,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399 : 4,690.62 = 2,157 : x
  2. Step 2: Convert to fraction form
    3,399/4,690.62 = 2,157/x
  3. Step 3: Cross multiply
    3,399x = 4,690.62 × 2,157
  4. Step 4: Simplify right side
    3,399x = 10,117,667.34
  5. Step 5: Solve for x
    x = 10,117,667.34/3,399
  6. Step 6: Final answer
    x = 2,976.66

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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.