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Finding the Fourth Proportional to 21,255.84, 31,863.78 and 7,206.06

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Solution

The fourth proportional to 21,255.84, 31,863.78 and 7,206.06 is: 10,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,255.84 : 31,863.78 = 7,206.06 : x
  2. Step 2: Convert to fraction form
    21,255.84/31,863.78 = 7,206.06/x
  3. Step 3: Cross multiply
    21,255.84x = 31,863.78 × 7,206.06
  4. Step 4: Simplify right side
    21,255.84x = 229,612,310.51
  5. Step 5: Solve for x
    x = 229,612,310.51/21,255.84
  6. Step 6: Final answer
    x = 10,802.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.