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Finding the Fourth Proportional to 14,609.26, 20,160.78 and 7,894.88

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Solution

The fourth proportional to 14,609.26, 20,160.78 and 7,894.88 is: 10,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.26 : 20,160.78 = 7,894.88 : x
  2. Step 2: Convert to fraction form
    14,609.26/20,160.78 = 7,894.88/x
  3. Step 3: Cross multiply
    14,609.26x = 20,160.78 × 7,894.88
  4. Step 4: Simplify right side
    14,609.26x = 159,166,985.11
  5. Step 5: Solve for x
    x = 159,166,985.11/14,609.26
  6. Step 6: Final answer
    x = 10,894.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.