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Finding the Fourth Proportional to 30,134.94, 45,205.44 and 7,949.85

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Solution

The fourth proportional to 30,134.94, 45,205.44 and 7,949.85 is: 11,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,134.94 : 45,205.44 = 7,949.85 : x
  2. Step 2: Convert to fraction form
    30,134.94/45,205.44 = 7,949.85/x
  3. Step 3: Cross multiply
    30,134.94x = 45,205.44 × 7,949.85
  4. Step 4: Simplify right side
    30,134.94x = 359,376,312.57
  5. Step 5: Solve for x
    x = 359,376,312.57/30,134.94
  6. Step 6: Final answer
    x = 11,925.57

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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.