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Finding the Fourth Proportional to 13,901, 19,183.52 and 8,312

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Solution

The fourth proportional to 13,901, 19,183.52 and 8,312 is: 11,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901 : 19,183.52 = 8,312 : x
  2. Step 2: Convert to fraction form
    13,901/19,183.52 = 8,312/x
  3. Step 3: Cross multiply
    13,901x = 19,183.52 × 8,312
  4. Step 4: Simplify right side
    13,901x = 159,453,376.68
  5. Step 5: Solve for x
    x = 159,453,376.68/13,901
  6. Step 6: Final answer
    x = 11,470.64

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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.