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Finding the Fourth Proportional to 10,684.86, 14,744.81 and 5,905.16

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Solution

The fourth proportional to 10,684.86, 14,744.81 and 5,905.16 is: 8,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.86 : 14,744.81 = 5,905.16 : x
  2. Step 2: Convert to fraction form
    10,684.86/14,744.81 = 5,905.16/x
  3. Step 3: Cross multiply
    10,684.86x = 14,744.81 × 5,905.16
  4. Step 4: Simplify right side
    10,684.86x = 87,070,358.97
  5. Step 5: Solve for x
    x = 87,070,358.97/10,684.86
  6. Step 6: Final answer
    x = 8,148.95

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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.