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Finding the Fourth Proportional to 30,332.70, 41,857.74 and 16,905.42

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Solution

The fourth proportional to 30,332.70, 41,857.74 and 16,905.42 is: 23,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,332.70 : 41,857.74 = 16,905.42 : x
  2. Step 2: Convert to fraction form
    30,332.70/41,857.74 = 16,905.42/x
  3. Step 3: Cross multiply
    30,332.70x = 41,857.74 × 16,905.42
  4. Step 4: Simplify right side
    30,332.70x = 707,622,674.95
  5. Step 5: Solve for x
    x = 707,622,674.95/30,332.70
  6. Step 6: Final answer
    x = 23,328.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.