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Finding the Fourth Proportional to 14,586.64, 20,129.96 and 8,921.28

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Solution

The fourth proportional to 14,586.64, 20,129.96 and 8,921.28 is: 12,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.64 : 20,129.96 = 8,921.28 : x
  2. Step 2: Convert to fraction form
    14,586.64/20,129.96 = 8,921.28/x
  3. Step 3: Cross multiply
    14,586.64x = 20,129.96 × 8,921.28
  4. Step 4: Simplify right side
    14,586.64x = 179,585,009.55
  5. Step 5: Solve for x
    x = 179,585,009.55/14,586.64
  6. Step 6: Final answer
    x = 12,311.61

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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.