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Finding the Fourth Proportional to 12,770.50, 19,155.75 and 3,536.50

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Solution

The fourth proportional to 12,770.50, 19,155.75 and 3,536.50 is: 5,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.50 : 19,155.75 = 3,536.50 : x
  2. Step 2: Convert to fraction form
    12,770.50/19,155.75 = 3,536.50/x
  3. Step 3: Cross multiply
    12,770.50x = 19,155.75 × 3,536.50
  4. Step 4: Simplify right side
    12,770.50x = 67,744,309.88
  5. Step 5: Solve for x
    x = 67,744,309.88/12,770.50
  6. Step 6: Final answer
    x = 5,304.75

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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.