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Finding the Fourth Proportional to 30,398.40, 45,595.44 and 8,213.04

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Solution

The fourth proportional to 30,398.40, 45,595.44 and 8,213.04 is: 12,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398.40 : 45,595.44 = 8,213.04 : x
  2. Step 2: Convert to fraction form
    30,398.40/45,595.44 = 8,213.04/x
  3. Step 3: Cross multiply
    30,398.40x = 45,595.44 × 8,213.04
  4. Step 4: Simplify right side
    30,398.40x = 374,477,172.54
  5. Step 5: Solve for x
    x = 374,477,172.54/30,398.40
  6. Step 6: Final answer
    x = 12,318.98

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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.