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Finding the Fourth Proportional to 20,459.68, 30,650 and 17,133.28

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Solution

The fourth proportional to 20,459.68, 30,650 and 17,133.28 is: 25,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459.68 : 30,650 = 17,133.28 : x
  2. Step 2: Convert to fraction form
    20,459.68/30,650 = 17,133.28/x
  3. Step 3: Cross multiply
    20,459.68x = 30,650 × 17,133.28
  4. Step 4: Simplify right side
    20,459.68x = 525,135,032.00
  5. Step 5: Solve for x
    x = 525,135,032.00/20,459.68
  6. Step 6: Final answer
    x = 25,666.83

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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.