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Finding the Fourth Proportional to 10,081.86, 13,915.86 and 5,835.79

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Solution

The fourth proportional to 10,081.86, 13,915.86 and 5,835.79 is: 8,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.86 : 13,915.86 = 5,835.79 : x
  2. Step 2: Convert to fraction form
    10,081.86/13,915.86 = 5,835.79/x
  3. Step 3: Cross multiply
    10,081.86x = 13,915.86 × 5,835.79
  4. Step 4: Simplify right side
    10,081.86x = 81,210,036.63
  5. Step 5: Solve for x
    x = 81,210,036.63/10,081.86
  6. Step 6: Final answer
    x = 8,055.06

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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.