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Finding the Fourth Proportional to 6,981, 9,633.80 and 3,837.21

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Solution

The fourth proportional to 6,981, 9,633.80 and 3,837.21 is: 5,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981 : 9,633.80 = 3,837.21 : x
  2. Step 2: Convert to fraction form
    6,981/9,633.80 = 3,837.21/x
  3. Step 3: Cross multiply
    6,981x = 9,633.80 × 3,837.21
  4. Step 4: Simplify right side
    6,981x = 36,966,894.51
  5. Step 5: Solve for x
    x = 36,966,894.51/6,981
  6. Step 6: Final answer
    x = 5,295.36

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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.