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Finding the Fourth Proportional to 30,604.41, 45,899.06 and 8,416.71

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Solution

The fourth proportional to 30,604.41, 45,899.06 and 8,416.71 is: 12,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,604.41 : 45,899.06 = 8,416.71 : x
  2. Step 2: Convert to fraction form
    30,604.41/45,899.06 = 8,416.71/x
  3. Step 3: Cross multiply
    30,604.41x = 45,899.06 × 8,416.71
  4. Step 4: Simplify right side
    30,604.41x = 386,319,035.21
  5. Step 5: Solve for x
    x = 386,319,035.21/30,604.41
  6. Step 6: Final answer
    x = 12,622.99

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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.