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Finding the Fourth Proportional to 3,838.32, 5,297.40 and 2,160

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Solution

The fourth proportional to 3,838.32, 5,297.40 and 2,160 is: 2,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.32 : 5,297.40 = 2,160 : x
  2. Step 2: Convert to fraction form
    3,838.32/5,297.40 = 2,160/x
  3. Step 3: Cross multiply
    3,838.32x = 5,297.40 × 2,160
  4. Step 4: Simplify right side
    3,838.32x = 11,442,384
  5. Step 5: Solve for x
    x = 11,442,384/3,838.32
  6. Step 6: Final answer
    x = 2,981.09

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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.