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Finding the Fourth Proportional to 14,291.48, 19,720.38 and 8,005

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Solution

The fourth proportional to 14,291.48, 19,720.38 and 8,005 is: 11,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.48 : 19,720.38 = 8,005 : x
  2. Step 2: Convert to fraction form
    14,291.48/19,720.38 = 8,005/x
  3. Step 3: Cross multiply
    14,291.48x = 19,720.38 × 8,005
  4. Step 4: Simplify right side
    14,291.48x = 157,861,641.90
  5. Step 5: Solve for x
    x = 157,861,641.90/14,291.48
  6. Step 6: Final answer
    x = 11,045.86

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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.