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Finding the Fourth Proportional to 2,500, 3,448.47 and 1,968.10

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Solution

The fourth proportional to 2,500, 3,448.47 and 1,968.10 is: 2,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500 : 3,448.47 = 1,968.10 : x
  2. Step 2: Convert to fraction form
    2,500/3,448.47 = 1,968.10/x
  3. Step 3: Cross multiply
    2,500x = 3,448.47 × 1,968.10
  4. Step 4: Simplify right side
    2,500x = 6,786,933.81
  5. Step 5: Solve for x
    x = 6,786,933.81/2,500
  6. Step 6: Final answer
    x = 2,714.77

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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.