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Finding the Fourth Proportional to 20,554.64, 30,806 and 17,133.20

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Solution

The fourth proportional to 20,554.64, 30,806 and 17,133.20 is: 25,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,554.64 : 30,806 = 17,133.20 : x
  2. Step 2: Convert to fraction form
    20,554.64/30,806 = 17,133.20/x
  3. Step 3: Cross multiply
    20,554.64x = 30,806 × 17,133.20
  4. Step 4: Simplify right side
    20,554.64x = 527,805,359.20
  5. Step 5: Solve for x
    x = 527,805,359.20/20,554.64
  6. Step 6: Final answer
    x = 25,678.16

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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.