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Finding the Fourth Proportional to 30,401.64, 45,598.98 and 8,213.70

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Solution

The fourth proportional to 30,401.64, 45,598.98 and 8,213.70 is: 12,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,401.64 : 45,598.98 = 8,213.70 : x
  2. Step 2: Convert to fraction form
    30,401.64/45,598.98 = 8,213.70/x
  3. Step 3: Cross multiply
    30,401.64x = 45,598.98 × 8,213.70
  4. Step 4: Simplify right side
    30,401.64x = 374,536,342.03
  5. Step 5: Solve for x
    x = 374,536,342.03/30,401.64
  6. Step 6: Final answer
    x = 12,319.61

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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.