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Finding the Fourth Proportional to 30,381.44, 45,572 and 8,194.24

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Solution

The fourth proportional to 30,381.44, 45,572 and 8,194.24 is: 12,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381.44 : 45,572 = 8,194.24 : x
  2. Step 2: Convert to fraction form
    30,381.44/45,572 = 8,194.24/x
  3. Step 3: Cross multiply
    30,381.44x = 45,572 × 8,194.24
  4. Step 4: Simplify right side
    30,381.44x = 373,427,905.28
  5. Step 5: Solve for x
    x = 373,427,905.28/30,381.44
  6. Step 6: Final answer
    x = 12,291.32

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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.