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Finding the Fourth Proportional to 2,906.60, 4,008.62 and 1,962.14

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Solution

The fourth proportional to 2,906.60, 4,008.62 and 1,962.14 is: 2,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.60 : 4,008.62 = 1,962.14 : x
  2. Step 2: Convert to fraction form
    2,906.60/4,008.62 = 1,962.14/x
  3. Step 3: Cross multiply
    2,906.60x = 4,008.62 × 1,962.14
  4. Step 4: Simplify right side
    2,906.60x = 7,865,458.51
  5. Step 5: Solve for x
    x = 7,865,458.51/2,906.60
  6. Step 6: Final answer
    x = 2,706.07

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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.