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Finding the Fourth Proportional to 30,687.78, 46,016.90 and 18,209.40

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Solution

The fourth proportional to 30,687.78, 46,016.90 and 18,209.40 is: 27,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,687.78 : 46,016.90 = 18,209.40 : x
  2. Step 2: Convert to fraction form
    30,687.78/46,016.90 = 18,209.40/x
  3. Step 3: Cross multiply
    30,687.78x = 46,016.90 × 18,209.40
  4. Step 4: Simplify right side
    30,687.78x = 837,940,138.86
  5. Step 5: Solve for x
    x = 837,940,138.86/30,687.78
  6. Step 6: Final answer
    x = 27,305.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.