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Finding the Fourth Proportional to 30,951.40, 42,713.05 and 16,804.24

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Solution

The fourth proportional to 30,951.40, 42,713.05 and 16,804.24 is: 23,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.40 : 42,713.05 = 16,804.24 : x
  2. Step 2: Convert to fraction form
    30,951.40/42,713.05 = 16,804.24/x
  3. Step 3: Cross multiply
    30,951.40x = 42,713.05 × 16,804.24
  4. Step 4: Simplify right side
    30,951.40x = 717,760,343.33
  5. Step 5: Solve for x
    x = 717,760,343.33/30,951.40
  6. Step 6: Final answer
    x = 23,189.92

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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.