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Finding the Fourth Proportional to 20,978.28, 31,459.50 and 6,183

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Solution

The fourth proportional to 20,978.28, 31,459.50 and 6,183 is: 9,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.28 : 31,459.50 = 6,183 : x
  2. Step 2: Convert to fraction form
    20,978.28/31,459.50 = 6,183/x
  3. Step 3: Cross multiply
    20,978.28x = 31,459.50 × 6,183
  4. Step 4: Simplify right side
    20,978.28x = 194,514,088.50
  5. Step 5: Solve for x
    x = 194,514,088.50/20,978.28
  6. Step 6: Final answer
    x = 9,272.17

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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.