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Finding the Fourth Proportional to 30,580.92, 42,198.30 and 17,149.40

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Solution

The fourth proportional to 30,580.92, 42,198.30 and 17,149.40 is: 23,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.92 : 42,198.30 = 17,149.40 : x
  2. Step 2: Convert to fraction form
    30,580.92/42,198.30 = 17,149.40/x
  3. Step 3: Cross multiply
    30,580.92x = 42,198.30 × 17,149.40
  4. Step 4: Simplify right side
    30,580.92x = 723,675,526.02
  5. Step 5: Solve for x
    x = 723,675,526.02/30,580.92
  6. Step 6: Final answer
    x = 23,664.28

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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.