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Finding the Fourth Proportional to 30,189.21, 45,284.21 and 9,129.41

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Solution

The fourth proportional to 30,189.21, 45,284.21 and 9,129.41 is: 13,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189.21 : 45,284.21 = 9,129.41 : x
  2. Step 2: Convert to fraction form
    30,189.21/45,284.21 = 9,129.41/x
  3. Step 3: Cross multiply
    30,189.21x = 45,284.21 × 9,129.41
  4. Step 4: Simplify right side
    30,189.21x = 413,418,102.95
  5. Step 5: Solve for x
    x = 413,418,102.95/30,189.21
  6. Step 6: Final answer
    x = 13,694.24

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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.