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Finding the Fourth Proportional to 30,874.56, 42,606.84 and 16,727.76

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Solution

The fourth proportional to 30,874.56, 42,606.84 and 16,727.76 is: 23,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.56 : 42,606.84 = 16,727.76 : x
  2. Step 2: Convert to fraction form
    30,874.56/42,606.84 = 16,727.76/x
  3. Step 3: Cross multiply
    30,874.56x = 42,606.84 × 16,727.76
  4. Step 4: Simplify right side
    30,874.56x = 712,716,993.88
  5. Step 5: Solve for x
    x = 712,716,993.88/30,874.56
  6. Step 6: Final answer
    x = 23,084.28

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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.