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Finding the Fourth Proportional to 30,974.59, 42,744 and 16,827.40

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Solution

The fourth proportional to 30,974.59, 42,744 and 16,827.40 is: 23,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.59 : 42,744 = 16,827.40 : x
  2. Step 2: Convert to fraction form
    30,974.59/42,744 = 16,827.40/x
  3. Step 3: Cross multiply
    30,974.59x = 42,744 × 16,827.40
  4. Step 4: Simplify right side
    30,974.59x = 719,270,385.60
  5. Step 5: Solve for x
    x = 719,270,385.60/30,974.59
  6. Step 6: Final answer
    x = 23,221.30

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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.