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Finding the Fourth Proportional to 18,646.50, 27,981.90 and 9,412.50

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Solution

The fourth proportional to 18,646.50, 27,981.90 and 9,412.50 is: 14,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.50 : 27,981.90 = 9,412.50 : x
  2. Step 2: Convert to fraction form
    18,646.50/27,981.90 = 9,412.50/x
  3. Step 3: Cross multiply
    18,646.50x = 27,981.90 × 9,412.50
  4. Step 4: Simplify right side
    18,646.50x = 263,379,633.75
  5. Step 5: Solve for x
    x = 263,379,633.75/18,646.50
  6. Step 6: Final answer
    x = 14,124.88

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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.