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Finding the Fourth Proportional to 30,632.91, 45,951.94 and 8,446.28

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Solution

The fourth proportional to 30,632.91, 45,951.94 and 8,446.28 is: 12,670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,632.91 : 45,951.94 = 8,446.28 : x
  2. Step 2: Convert to fraction form
    30,632.91/45,951.94 = 8,446.28/x
  3. Step 3: Cross multiply
    30,632.91x = 45,951.94 × 8,446.28
  4. Step 4: Simplify right side
    30,632.91x = 388,122,700.91
  5. Step 5: Solve for x
    x = 388,122,700.91/30,632.91
  6. Step 6: Final answer
    x = 12,670.12

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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.