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Finding the Fourth Proportional to 13,674.58, 20,511.85 and 5,348.76

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Solution

The fourth proportional to 13,674.58, 20,511.85 and 5,348.76 is: 8,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.58 : 20,511.85 = 5,348.76 : x
  2. Step 2: Convert to fraction form
    13,674.58/20,511.85 = 5,348.76/x
  3. Step 3: Cross multiply
    13,674.58x = 20,511.85 × 5,348.76
  4. Step 4: Simplify right side
    13,674.58x = 109,712,962.81
  5. Step 5: Solve for x
    x = 109,712,962.81/13,674.58
  6. Step 6: Final answer
    x = 8,023.13

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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.