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Finding the Fourth Proportional to 20,292, 30,438.01 and 6,441

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Solution

The fourth proportional to 20,292, 30,438.01 and 6,441 is: 9,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,292 : 30,438.01 = 6,441 : x
  2. Step 2: Convert to fraction form
    20,292/30,438.01 = 6,441/x
  3. Step 3: Cross multiply
    20,292x = 30,438.01 × 6,441
  4. Step 4: Simplify right side
    20,292x = 196,051,222.41
  5. Step 5: Solve for x
    x = 196,051,222.41/20,292
  6. Step 6: Final answer
    x = 9,661.50

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Double scale
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1.5x scale

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.