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Finding the Fourth Proportional to 38,506, 53,138.44 and 20,842

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Solution

The fourth proportional to 38,506, 53,138.44 and 20,842 is: 28,762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506 : 53,138.44 = 20,842 : x
  2. Step 2: Convert to fraction form
    38,506/53,138.44 = 20,842/x
  3. Step 3: Cross multiply
    38,506x = 53,138.44 × 20,842
  4. Step 4: Simplify right side
    38,506x = 1,107,511,366.48
  5. Step 5: Solve for x
    x = 1,107,511,366.48/38,506
  6. Step 6: Final answer
    x = 28,762.05

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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.