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Finding the Fourth Proportional to 11,871.23, 16,385.70 and 7,841

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Solution

The fourth proportional to 11,871.23, 16,385.70 and 7,841 is: 10,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.23 : 16,385.70 = 7,841 : x
  2. Step 2: Convert to fraction form
    11,871.23/16,385.70 = 7,841/x
  3. Step 3: Cross multiply
    11,871.23x = 16,385.70 × 7,841
  4. Step 4: Simplify right side
    11,871.23x = 128,480,273.70
  5. Step 5: Solve for x
    x = 128,480,273.70/11,871.23
  6. Step 6: Final answer
    x = 10,822.83

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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.