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Finding the Fourth Proportional to 38,461, 53,076.18 and 20,797

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Solution

The fourth proportional to 38,461, 53,076.18 and 20,797 is: 28,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461 : 53,076.18 = 20,797 : x
  2. Step 2: Convert to fraction form
    38,461/53,076.18 = 20,797/x
  3. Step 3: Cross multiply
    38,461x = 53,076.18 × 20,797
  4. Step 4: Simplify right side
    38,461x = 1,103,825,315.46
  5. Step 5: Solve for x
    x = 1,103,825,315.46/38,461
  6. Step 6: Final answer
    x = 28,699.86

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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.