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Finding the Fourth Proportional to 13,651.84, 20,482.50 and 8,420.68

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Solution

The fourth proportional to 13,651.84, 20,482.50 and 8,420.68 is: 12,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.84 : 20,482.50 = 8,420.68 : x
  2. Step 2: Convert to fraction form
    13,651.84/20,482.50 = 8,420.68/x
  3. Step 3: Cross multiply
    13,651.84x = 20,482.50 × 8,420.68
  4. Step 4: Simplify right side
    13,651.84x = 172,476,578.10
  5. Step 5: Solve for x
    x = 172,476,578.10/13,651.84
  6. Step 6: Final answer
    x = 12,633.94

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1.5x scale

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.