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Finding the Fourth Proportional to 13,641, 20,461.50 and 5,438.76

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Solution

The fourth proportional to 13,641, 20,461.50 and 5,438.76 is: 8,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641 : 20,461.50 = 5,438.76 : x
  2. Step 2: Convert to fraction form
    13,641/20,461.50 = 5,438.76/x
  3. Step 3: Cross multiply
    13,641x = 20,461.50 × 5,438.76
  4. Step 4: Simplify right side
    13,641x = 111,285,187.74
  5. Step 5: Solve for x
    x = 111,285,187.74/13,641
  6. Step 6: Final answer
    x = 8,158.14

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Why These Related Problems?

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