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Finding the Fourth Proportional to 13,406.80, 18,500.68 and 7,438

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Solution

The fourth proportional to 13,406.80, 18,500.68 and 7,438 is: 10,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.80 : 18,500.68 = 7,438 : x
  2. Step 2: Convert to fraction form
    13,406.80/18,500.68 = 7,438/x
  3. Step 3: Cross multiply
    13,406.80x = 18,500.68 × 7,438
  4. Step 4: Simplify right side
    13,406.80x = 137,608,057.84
  5. Step 5: Solve for x
    x = 137,608,057.84/13,406.80
  6. Step 6: Final answer
    x = 10,264.05

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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.