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Finding the Fourth Proportional to 37,617, 51,911.76 and 20,850

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Solution

The fourth proportional to 37,617, 51,911.76 and 20,850 is: 28,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,617 : 51,911.76 = 20,850 : x
  2. Step 2: Convert to fraction form
    37,617/51,911.76 = 20,850/x
  3. Step 3: Cross multiply
    37,617x = 51,911.76 × 20,850
  4. Step 4: Simplify right side
    37,617x = 1,082,360,196
  5. Step 5: Solve for x
    x = 1,082,360,196/37,617
  6. Step 6: Final answer
    x = 28,773.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.