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Finding the Fourth Proportional to 30,133.74, 45,198.74 and 7,946.63

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Solution

The fourth proportional to 30,133.74, 45,198.74 and 7,946.63 is: 11,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,133.74 : 45,198.74 = 7,946.63 : x
  2. Step 2: Convert to fraction form
    30,133.74/45,198.74 = 7,946.63/x
  3. Step 3: Cross multiply
    30,133.74x = 45,198.74 × 7,946.63
  4. Step 4: Simplify right side
    30,133.74x = 359,177,397.52
  5. Step 5: Solve for x
    x = 359,177,397.52/30,133.74
  6. Step 6: Final answer
    x = 11,919.44

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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.