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Finding the Fourth Proportional to 30,398.76, 45,598.14 and 8,212.19

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Solution

The fourth proportional to 30,398.76, 45,598.14 and 8,212.19 is: 12,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398.76 : 45,598.14 = 8,212.19 : x
  2. Step 2: Convert to fraction form
    30,398.76/45,598.14 = 8,212.19/x
  3. Step 3: Cross multiply
    30,398.76x = 45,598.14 × 8,212.19
  4. Step 4: Simplify right side
    30,398.76x = 374,460,361.34
  5. Step 5: Solve for x
    x = 374,460,361.34/30,398.76
  6. Step 6: Final answer
    x = 12,318.28

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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.