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Finding the Fourth Proportional to 30,645.48, 45,968.22 and 8,458.12

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Solution

The fourth proportional to 30,645.48, 45,968.22 and 8,458.12 is: 12,687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645.48 : 45,968.22 = 8,458.12 : x
  2. Step 2: Convert to fraction form
    30,645.48/45,968.22 = 8,458.12/x
  3. Step 3: Cross multiply
    30,645.48x = 45,968.22 × 8,458.12
  4. Step 4: Simplify right side
    30,645.48x = 388,804,720.95
  5. Step 5: Solve for x
    x = 388,804,720.95/30,645.48
  6. Step 6: Final answer
    x = 12,687.18

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Similar ratio
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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.