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Finding the Fourth Proportional to 13,420.30, 18,519.08 and 7,451.50

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Solution

The fourth proportional to 13,420.30, 18,519.08 and 7,451.50 is: 10,282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.30 : 18,519.08 = 7,451.50 : x
  2. Step 2: Convert to fraction form
    13,420.30/18,519.08 = 7,451.50/x
  3. Step 3: Cross multiply
    13,420.30x = 18,519.08 × 7,451.50
  4. Step 4: Simplify right side
    13,420.30x = 137,994,924.62
  5. Step 5: Solve for x
    x = 137,994,924.62/13,420.30
  6. Step 6: Final answer
    x = 10,282.55

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1.5x scale

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.