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Finding the Fourth Proportional to 14,372.80, 19,834.41 and 8,403.28

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Solution

The fourth proportional to 14,372.80, 19,834.41 and 8,403.28 is: 11,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,372.80 : 19,834.41 = 8,403.28 : x
  2. Step 2: Convert to fraction form
    14,372.80/19,834.41 = 8,403.28/x
  3. Step 3: Cross multiply
    14,372.80x = 19,834.41 × 8,403.28
  4. Step 4: Simplify right side
    14,372.80x = 166,674,100.86
  5. Step 5: Solve for x
    x = 166,674,100.86/14,372.80
  6. Step 6: Final answer
    x = 11,596.49

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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.