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Finding the Fourth Proportional to 11,871.84, 16,386.02 and 7,400.79

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Solution

The fourth proportional to 11,871.84, 16,386.02 and 7,400.79 is: 10,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.84 : 16,386.02 = 7,400.79 : x
  2. Step 2: Convert to fraction form
    11,871.84/16,386.02 = 7,400.79/x
  3. Step 3: Cross multiply
    11,871.84x = 16,386.02 × 7,400.79
  4. Step 4: Simplify right side
    11,871.84x = 121,269,550.61
  5. Step 5: Solve for x
    x = 121,269,550.61/11,871.84
  6. Step 6: Final answer
    x = 10,214.89

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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.