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Finding the Fourth Proportional to 30,138.50, 45,207.76 and 11,670.50

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Solution

The fourth proportional to 30,138.50, 45,207.76 and 11,670.50 is: 17,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.50 : 45,207.76 = 11,670.50 : x
  2. Step 2: Convert to fraction form
    30,138.50/45,207.76 = 11,670.50/x
  3. Step 3: Cross multiply
    30,138.50x = 45,207.76 × 11,670.50
  4. Step 4: Simplify right side
    30,138.50x = 527,597,163.08
  5. Step 5: Solve for x
    x = 527,597,163.08/30,138.50
  6. Step 6: Final answer
    x = 17,505.75

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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.