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Finding the Fourth Proportional to 38,613, 53,285.94 and 20,949

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Solution

The fourth proportional to 38,613, 53,285.94 and 20,949 is: 28,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,613 : 53,285.94 = 20,949 : x
  2. Step 2: Convert to fraction form
    38,613/53,285.94 = 20,949/x
  3. Step 3: Cross multiply
    38,613x = 53,285.94 × 20,949
  4. Step 4: Simplify right side
    38,613x = 1,116,287,157.06
  5. Step 5: Solve for x
    x = 1,116,287,157.06/38,613
  6. Step 6: Final answer
    x = 28,909.62

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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.