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Finding the Fourth Proportional to 19,871.68, 29,813.76 and 8,190.40

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Solution

The fourth proportional to 19,871.68, 29,813.76 and 8,190.40 is: 12,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.68 : 29,813.76 = 8,190.40 : x
  2. Step 2: Convert to fraction form
    19,871.68/29,813.76 = 8,190.40/x
  3. Step 3: Cross multiply
    19,871.68x = 29,813.76 × 8,190.40
  4. Step 4: Simplify right side
    19,871.68x = 244,186,619.90
  5. Step 5: Solve for x
    x = 244,186,619.90/19,871.68
  6. Step 6: Final answer
    x = 12,288.17

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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.