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Finding the Fourth Proportional to 38,451, 53,062.38 and 20,787

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Solution

The fourth proportional to 38,451, 53,062.38 and 20,787 is: 28,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,451 : 53,062.38 = 20,787 : x
  2. Step 2: Convert to fraction form
    38,451/53,062.38 = 20,787/x
  3. Step 3: Cross multiply
    38,451x = 53,062.38 × 20,787
  4. Step 4: Simplify right side
    38,451x = 1,103,007,693.06
  5. Step 5: Solve for x
    x = 1,103,007,693.06/38,451
  6. Step 6: Final answer
    x = 28,686.06

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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.