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Finding the Fourth Proportional to 13,845.84, 20,746.82 and 7,265.40

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Solution

The fourth proportional to 13,845.84, 20,746.82 and 7,265.40 is: 10,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,845.84 : 20,746.82 = 7,265.40 : x
  2. Step 2: Convert to fraction form
    13,845.84/20,746.82 = 7,265.40/x
  3. Step 3: Cross multiply
    13,845.84x = 20,746.82 × 7,265.40
  4. Step 4: Simplify right side
    13,845.84x = 150,733,946.03
  5. Step 5: Solve for x
    x = 150,733,946.03/13,845.84
  6. Step 6: Final answer
    x = 10,886.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.