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Finding the Fourth Proportional to 30,398.81, 45,594.65 and 8,213.93

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Solution

The fourth proportional to 30,398.81, 45,594.65 and 8,213.93 is: 12,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398.81 : 45,594.65 = 8,213.93 : x
  2. Step 2: Convert to fraction form
    30,398.81/45,594.65 = 8,213.93/x
  3. Step 3: Cross multiply
    30,398.81x = 45,594.65 × 8,213.93
  4. Step 4: Simplify right side
    30,398.81x = 374,510,994.43
  5. Step 5: Solve for x
    x = 374,510,994.43/30,398.81
  6. Step 6: Final answer
    x = 12,319.92

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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.