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Finding the Fourth Proportional to 18,643.92, 27,957.64 and 9,876.75

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Solution

The fourth proportional to 18,643.92, 27,957.64 and 9,876.75 is: 14,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,643.92 : 27,957.64 = 9,876.75 : x
  2. Step 2: Convert to fraction form
    18,643.92/27,957.64 = 9,876.75/x
  3. Step 3: Cross multiply
    18,643.92x = 27,957.64 × 9,876.75
  4. Step 4: Simplify right side
    18,643.92x = 276,130,620.87
  5. Step 5: Solve for x
    x = 276,130,620.87/18,643.92
  6. Step 6: Final answer
    x = 14,810.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.