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Finding the Fourth Proportional to 19,819.50, 29,729.25 and 7,507.50

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Solution

The fourth proportional to 19,819.50, 29,729.25 and 7,507.50 is: 11,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.50 : 29,729.25 = 7,507.50 : x
  2. Step 2: Convert to fraction form
    19,819.50/29,729.25 = 7,507.50/x
  3. Step 3: Cross multiply
    19,819.50x = 29,729.25 × 7,507.50
  4. Step 4: Simplify right side
    19,819.50x = 223,192,344.38
  5. Step 5: Solve for x
    x = 223,192,344.38/19,819.50
  6. Step 6: Final answer
    x = 11,261.25

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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.