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Finding the Fourth Proportional to 14,143.12, 19,508.68 and 9,114

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Solution

The fourth proportional to 14,143.12, 19,508.68 and 9,114 is: 12,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.12 : 19,508.68 = 9,114 : x
  2. Step 2: Convert to fraction form
    14,143.12/19,508.68 = 9,114/x
  3. Step 3: Cross multiply
    14,143.12x = 19,508.68 × 9,114
  4. Step 4: Simplify right side
    14,143.12x = 177,802,109.52
  5. Step 5: Solve for x
    x = 177,802,109.52/14,143.12
  6. Step 6: Final answer
    x = 12,571.63

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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.