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Finding the Fourth Proportional to 14,694, 20,277.84 and 8,406.24

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Solution

The fourth proportional to 14,694, 20,277.84 and 8,406.24 is: 11,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694 : 20,277.84 = 8,406.24 : x
  2. Step 2: Convert to fraction form
    14,694/20,277.84 = 8,406.24/x
  3. Step 3: Cross multiply
    14,694x = 20,277.84 × 8,406.24
  4. Step 4: Simplify right side
    14,694x = 170,460,389.72
  5. Step 5: Solve for x
    x = 170,460,389.72/14,694
  6. Step 6: Final answer
    x = 11,600.68

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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.