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Finding the Fourth Proportional to 14,072, 19,419.68 and 9,112.64

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Solution

The fourth proportional to 14,072, 19,419.68 and 9,112.64 is: 12,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072 : 19,419.68 = 9,112.64 : x
  2. Step 2: Convert to fraction form
    14,072/19,419.68 = 9,112.64/x
  3. Step 3: Cross multiply
    14,072x = 19,419.68 × 9,112.64
  4. Step 4: Simplify right side
    14,072x = 176,964,552.76
  5. Step 5: Solve for x
    x = 176,964,552.76/14,072
  6. Step 6: Final answer
    x = 12,575.65

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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.