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Finding the Fourth Proportional to 21,204.36, 31,806.54 and 7,353.36

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Solution

The fourth proportional to 21,204.36, 31,806.54 and 7,353.36 is: 11,030.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204.36 : 31,806.54 = 7,353.36 : x
  2. Step 2: Convert to fraction form
    21,204.36/31,806.54 = 7,353.36/x
  3. Step 3: Cross multiply
    21,204.36x = 31,806.54 × 7,353.36
  4. Step 4: Simplify right side
    21,204.36x = 233,884,938.97
  5. Step 5: Solve for x
    x = 233,884,938.97/21,204.36
  6. Step 6: Final answer
    x = 11,030.04

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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.