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Finding the Fourth Proportional to 13,000.52, 19,505.66 and 7,738.55

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Solution

The fourth proportional to 13,000.52, 19,505.66 and 7,738.55 is: 11,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.52 : 19,505.66 = 7,738.55 : x
  2. Step 2: Convert to fraction form
    13,000.52/19,505.66 = 7,738.55/x
  3. Step 3: Cross multiply
    13,000.52x = 19,505.66 × 7,738.55
  4. Step 4: Simplify right side
    13,000.52x = 150,945,615.37
  5. Step 5: Solve for x
    x = 150,945,615.37/13,000.52
  6. Step 6: Final answer
    x = 11,610.74

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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.