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Finding the Fourth Proportional to 20,411.88, 30,600.81 and 14,184

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Solution

The fourth proportional to 20,411.88, 30,600.81 and 14,184 is: 21,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,411.88 : 30,600.81 = 14,184 : x
  2. Step 2: Convert to fraction form
    20,411.88/30,600.81 = 14,184/x
  3. Step 3: Cross multiply
    20,411.88x = 30,600.81 × 14,184
  4. Step 4: Simplify right side
    20,411.88x = 434,041,889.04
  5. Step 5: Solve for x
    x = 434,041,889.04/20,411.88
  6. Step 6: Final answer
    x = 21,264.18

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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.