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Finding the Fourth Proportional to 30,431.80, 45,640.80 and 13,780.84

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Solution

The fourth proportional to 30,431.80, 45,640.80 and 13,780.84 is: 20,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.80 : 45,640.80 = 13,780.84 : x
  2. Step 2: Convert to fraction form
    30,431.80/45,640.80 = 13,780.84/x
  3. Step 3: Cross multiply
    30,431.80x = 45,640.80 × 13,780.84
  4. Step 4: Simplify right side
    30,431.80x = 628,968,562.27
  5. Step 5: Solve for x
    x = 628,968,562.27/30,431.80
  6. Step 6: Final answer
    x = 20,668.14

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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.