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Finding the Fourth Proportional to 2,320, 3,202.32 and 1,388.68

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Solution

The fourth proportional to 2,320, 3,202.32 and 1,388.68 is: 1,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320 : 3,202.32 = 1,388.68 : x
  2. Step 2: Convert to fraction form
    2,320/3,202.32 = 1,388.68/x
  3. Step 3: Cross multiply
    2,320x = 3,202.32 × 1,388.68
  4. Step 4: Simplify right side
    2,320x = 4,446,997.74
  5. Step 5: Solve for x
    x = 4,446,997.74/2,320
  6. Step 6: Final answer
    x = 1,916.81

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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.