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Finding the Fourth Proportional to 27,842.82, 38,423.97 and 15,268.74

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Solution

The fourth proportional to 27,842.82, 38,423.97 and 15,268.74 is: 21,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.82 : 38,423.97 = 15,268.74 : x
  2. Step 2: Convert to fraction form
    27,842.82/38,423.97 = 15,268.74/x
  3. Step 3: Cross multiply
    27,842.82x = 38,423.97 × 15,268.74
  4. Step 4: Simplify right side
    27,842.82x = 586,685,607.70
  5. Step 5: Solve for x
    x = 586,685,607.70/27,842.82
  6. Step 6: Final answer
    x = 21,071.34

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