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Finding the Fourth Proportional to 11,904.76, 16,435.07 and 7,871.77

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Solution

The fourth proportional to 11,904.76, 16,435.07 and 7,871.77 is: 10,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.76 : 16,435.07 = 7,871.77 : x
  2. Step 2: Convert to fraction form
    11,904.76/16,435.07 = 7,871.77/x
  3. Step 3: Cross multiply
    11,904.76x = 16,435.07 × 7,871.77
  4. Step 4: Simplify right side
    11,904.76x = 129,373,090.97
  5. Step 5: Solve for x
    x = 129,373,090.97/11,904.76
  6. Step 6: Final answer
    x = 10,867.34

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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.