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Finding the Fourth Proportional to 13,000.34, 19,505.39 and 7,738.37

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Solution

The fourth proportional to 13,000.34, 19,505.39 and 7,738.37 is: 11,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.34 : 19,505.39 = 7,738.37 : x
  2. Step 2: Convert to fraction form
    13,000.34/19,505.39 = 7,738.37/x
  3. Step 3: Cross multiply
    13,000.34x = 19,505.39 × 7,738.37
  4. Step 4: Simplify right side
    13,000.34x = 150,939,788.60
  5. Step 5: Solve for x
    x = 150,939,788.60/13,000.34
  6. Step 6: Final answer
    x = 11,610.45

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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.