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Finding the Fourth Proportional to 30,632.79, 45,951.75 and 8,446.15

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Solution

The fourth proportional to 30,632.79, 45,951.75 and 8,446.15 is: 12,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,632.79 : 45,951.75 = 8,446.15 : x
  2. Step 2: Convert to fraction form
    30,632.79/45,951.75 = 8,446.15/x
  3. Step 3: Cross multiply
    30,632.79x = 45,951.75 × 8,446.15
  4. Step 4: Simplify right side
    30,632.79x = 388,115,373.26
  5. Step 5: Solve for x
    x = 388,115,373.26/30,632.79
  6. Step 6: Final answer
    x = 12,669.93

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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.