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Finding the Fourth Proportional to 14,764.16, 20,373.77 and 8,389.90

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Solution

The fourth proportional to 14,764.16, 20,373.77 and 8,389.90 is: 11,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,764.16 : 20,373.77 = 8,389.90 : x
  2. Step 2: Convert to fraction form
    14,764.16/20,373.77 = 8,389.90/x
  3. Step 3: Cross multiply
    14,764.16x = 20,373.77 × 8,389.90
  4. Step 4: Simplify right side
    14,764.16x = 170,933,800.04
  5. Step 5: Solve for x
    x = 170,933,800.04/14,764.16
  6. Step 6: Final answer
    x = 11,577.62

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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.