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Finding the Fourth Proportional to 27,883.67, 38,478.12 and 15,948.32

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Solution

The fourth proportional to 27,883.67, 38,478.12 and 15,948.32 is: 22,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,883.67 : 38,478.12 = 15,948.32 : x
  2. Step 2: Convert to fraction form
    27,883.67/38,478.12 = 15,948.32/x
  3. Step 3: Cross multiply
    27,883.67x = 38,478.12 × 15,948.32
  4. Step 4: Simplify right side
    27,883.67x = 613,661,370.76
  5. Step 5: Solve for x
    x = 613,661,370.76/27,883.67
  6. Step 6: Final answer
    x = 22,007.91

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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.