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Finding the Fourth Proportional to 14,292, 19,722.96 and 8,004.36

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Solution

The fourth proportional to 14,292, 19,722.96 and 8,004.36 is: 11,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292 : 19,722.96 = 8,004.36 : x
  2. Step 2: Convert to fraction form
    14,292/19,722.96 = 8,004.36/x
  3. Step 3: Cross multiply
    14,292x = 19,722.96 × 8,004.36
  4. Step 4: Simplify right side
    14,292x = 157,869,672.11
  5. Step 5: Solve for x
    x = 157,869,672.11/14,292
  6. Step 6: Final answer
    x = 11,046.02

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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.