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Finding the Fourth Proportional to 2,902, 4,008.06 and 1,968.88

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Solution

The fourth proportional to 2,902, 4,008.06 and 1,968.88 is: 2,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902 : 4,008.06 = 1,968.88 : x
  2. Step 2: Convert to fraction form
    2,902/4,008.06 = 1,968.88/x
  3. Step 3: Cross multiply
    2,902x = 4,008.06 × 1,968.88
  4. Step 4: Simplify right side
    2,902x = 7,891,389.17
  5. Step 5: Solve for x
    x = 7,891,389.17/2,902
  6. Step 6: Final answer
    x = 2,719.29

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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.