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Finding the Fourth Proportional to 15,051.50, 20,770.84 and 8,245.47

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Solution

The fourth proportional to 15,051.50, 20,770.84 and 8,245.47 is: 11,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,051.50 : 20,770.84 = 8,245.47 : x
  2. Step 2: Convert to fraction form
    15,051.50/20,770.84 = 8,245.47/x
  3. Step 3: Cross multiply
    15,051.50x = 20,770.84 × 8,245.47
  4. Step 4: Simplify right side
    15,051.50x = 171,265,317.48
  5. Step 5: Solve for x
    x = 171,265,317.48/15,051.50
  6. Step 6: Final answer
    x = 11,378.62

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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.