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Finding the Fourth Proportional to 14,502.34, 20,008.47 and 8,128

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Solution

The fourth proportional to 14,502.34, 20,008.47 and 8,128 is: 11,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.34 : 20,008.47 = 8,128 : x
  2. Step 2: Convert to fraction form
    14,502.34/20,008.47 = 8,128/x
  3. Step 3: Cross multiply
    14,502.34x = 20,008.47 × 8,128
  4. Step 4: Simplify right side
    14,502.34x = 162,628,844.16
  5. Step 5: Solve for x
    x = 162,628,844.16/14,502.34
  6. Step 6: Final answer
    x = 11,213.97

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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.