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Finding the Fourth Proportional to 14,784, 20,403.20 and 8,161.28

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Solution

The fourth proportional to 14,784, 20,403.20 and 8,161.28 is: 11,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784 : 20,403.20 = 8,161.28 : x
  2. Step 2: Convert to fraction form
    14,784/20,403.20 = 8,161.28/x
  3. Step 3: Cross multiply
    14,784x = 20,403.20 × 8,161.28
  4. Step 4: Simplify right side
    14,784x = 166,516,228.10
  5. Step 5: Solve for x
    x = 166,516,228.10/14,784
  6. Step 6: Final answer
    x = 11,263.27

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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.