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Finding the Fourth Proportional to 30,357.78, 45,770.25 and 29,813.46

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Solution

The fourth proportional to 30,357.78, 45,770.25 and 29,813.46 is: 44,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,357.78 : 45,770.25 = 29,813.46 : x
  2. Step 2: Convert to fraction form
    30,357.78/45,770.25 = 29,813.46/x
  3. Step 3: Cross multiply
    30,357.78x = 45,770.25 × 29,813.46
  4. Step 4: Simplify right side
    30,357.78x = 1,364,569,517.57
  5. Step 5: Solve for x
    x = 1,364,569,517.57/30,357.78
  6. Step 6: Final answer
    x = 44,949.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.