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Finding the Fourth Proportional to 20,283, 30,425.88 and 6,242.16

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Solution

The fourth proportional to 20,283, 30,425.88 and 6,242.16 is: 9,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283 : 30,425.88 = 6,242.16 : x
  2. Step 2: Convert to fraction form
    20,283/30,425.88 = 6,242.16/x
  3. Step 3: Cross multiply
    20,283x = 30,425.88 × 6,242.16
  4. Step 4: Simplify right side
    20,283x = 189,923,211.10
  5. Step 5: Solve for x
    x = 189,923,211.10/20,283
  6. Step 6: Final answer
    x = 9,363.66

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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.