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Finding the Fourth Proportional to 30,361.78, 45,548.16 and 13,729.65

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Solution

The fourth proportional to 30,361.78, 45,548.16 and 13,729.65 is: 20,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,361.78 : 45,548.16 = 13,729.65 : x
  2. Step 2: Convert to fraction form
    30,361.78/45,548.16 = 13,729.65/x
  3. Step 3: Cross multiply
    30,361.78x = 45,548.16 × 13,729.65
  4. Step 4: Simplify right side
    30,361.78x = 625,360,294.94
  5. Step 5: Solve for x
    x = 625,360,294.94/30,361.78
  6. Step 6: Final answer
    x = 20,596.96

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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.