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Finding the Fourth Proportional to 10,091.79, 15,137.69 and 3,071.82

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Solution

The fourth proportional to 10,091.79, 15,137.69 and 3,071.82 is: 4,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.79 : 15,137.69 = 3,071.82 : x
  2. Step 2: Convert to fraction form
    10,091.79/15,137.69 = 3,071.82/x
  3. Step 3: Cross multiply
    10,091.79x = 15,137.69 × 3,071.82
  4. Step 4: Simplify right side
    10,091.79x = 46,500,300.30
  5. Step 5: Solve for x
    x = 46,500,300.30/10,091.79
  6. Step 6: Final answer
    x = 4,607.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.