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Finding the Fourth Proportional to 30,133.54, 45,195.16 and 7,947.13

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Solution

The fourth proportional to 30,133.54, 45,195.16 and 7,947.13 is: 11,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,133.54 : 45,195.16 = 7,947.13 : x
  2. Step 2: Convert to fraction form
    30,133.54/45,195.16 = 7,947.13/x
  3. Step 3: Cross multiply
    30,133.54x = 45,195.16 × 7,947.13
  4. Step 4: Simplify right side
    30,133.54x = 359,171,811.89
  5. Step 5: Solve for x
    x = 359,171,811.89/30,133.54
  6. Step 6: Final answer
    x = 11,919.34

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Double scale
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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.