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Finding the Fourth Proportional to 11,871.81, 16,388.14 and 7,397.77

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Solution

The fourth proportional to 11,871.81, 16,388.14 and 7,397.77 is: 10,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.81 : 16,388.14 = 7,397.77 : x
  2. Step 2: Convert to fraction form
    11,871.81/16,388.14 = 7,397.77/x
  3. Step 3: Cross multiply
    11,871.81x = 16,388.14 × 7,397.77
  4. Step 4: Simplify right side
    11,871.81x = 121,235,690.45
  5. Step 5: Solve for x
    x = 121,235,690.45/11,871.81
  6. Step 6: Final answer
    x = 10,212.06

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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.