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Finding the Fourth Proportional to 30,138.78, 45,211.21 and 7,953.69

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Solution

The fourth proportional to 30,138.78, 45,211.21 and 7,953.69 is: 11,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.78 : 45,211.21 = 7,953.69 : x
  2. Step 2: Convert to fraction form
    30,138.78/45,211.21 = 7,953.69/x
  3. Step 3: Cross multiply
    30,138.78x = 45,211.21 × 7,953.69
  4. Step 4: Simplify right side
    30,138.78x = 359,595,928.98
  5. Step 5: Solve for x
    x = 359,595,928.98/30,138.78
  6. Step 6: Final answer
    x = 11,931.34

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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.