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Finding the Fourth Proportional to 14,073, 19,419.05 and 8,106.61

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Solution

The fourth proportional to 14,073, 19,419.05 and 8,106.61 is: 11,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073 : 19,419.05 = 8,106.61 : x
  2. Step 2: Convert to fraction form
    14,073/19,419.05 = 8,106.61/x
  3. Step 3: Cross multiply
    14,073x = 19,419.05 × 8,106.61
  4. Step 4: Simplify right side
    14,073x = 157,422,636.64
  5. Step 5: Solve for x
    x = 157,422,636.64/14,073
  6. Step 6: Final answer
    x = 11,186.15

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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.