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Finding the Fourth Proportional to 12,632.00, 18,947.94 and 9,861

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Solution

The fourth proportional to 12,632.00, 18,947.94 and 9,861 is: 14,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.00 : 18,947.94 = 9,861 : x
  2. Step 2: Convert to fraction form
    12,632.00/18,947.94 = 9,861/x
  3. Step 3: Cross multiply
    12,632.00x = 18,947.94 × 9,861
  4. Step 4: Simplify right side
    12,632.00x = 186,845,636.34
  5. Step 5: Solve for x
    x = 186,845,636.34/12,632.00
  6. Step 6: Final answer
    x = 14,791.46

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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.