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Finding the Fourth Proportional to 10,841, 14,960.64 and 5,873

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Solution

The fourth proportional to 10,841, 14,960.64 and 5,873 is: 8,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841 : 14,960.64 = 5,873 : x
  2. Step 2: Convert to fraction form
    10,841/14,960.64 = 5,873/x
  3. Step 3: Cross multiply
    10,841x = 14,960.64 × 5,873
  4. Step 4: Simplify right side
    10,841x = 87,863,838.72
  5. Step 5: Solve for x
    x = 87,863,838.72/10,841
  6. Step 6: Final answer
    x = 8,104.77

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1.5x scale

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.