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Finding the Fourth Proportional to 20,276, 30,415.38 and 6,235.16

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Solution

The fourth proportional to 20,276, 30,415.38 and 6,235.16 is: 9,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,276 : 30,415.38 = 6,235.16 : x
  2. Step 2: Convert to fraction form
    20,276/30,415.38 = 6,235.16/x
  3. Step 3: Cross multiply
    20,276x = 30,415.38 × 6,235.16
  4. Step 4: Simplify right side
    20,276x = 189,644,760.76
  5. Step 5: Solve for x
    x = 189,644,760.76/20,276
  6. Step 6: Final answer
    x = 9,353.16

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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.