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Finding the Fourth Proportional to 11,871, 16,382.25 and 7,686.54

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Solution

The fourth proportional to 11,871, 16,382.25 and 7,686.54 is: 10,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871 : 16,382.25 = 7,686.54 : x
  2. Step 2: Convert to fraction form
    11,871/16,382.25 = 7,686.54/x
  3. Step 3: Cross multiply
    11,871x = 16,382.25 × 7,686.54
  4. Step 4: Simplify right side
    11,871x = 125,922,819.92
  5. Step 5: Solve for x
    x = 125,922,819.92/11,871
  6. Step 6: Final answer
    x = 10,607.60

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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.