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Finding the Fourth Proportional to 21,847.50, 30,149.58 and 11,911.50

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Solution

The fourth proportional to 21,847.50, 30,149.58 and 11,911.50 is: 16,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.50 : 30,149.58 = 11,911.50 : x
  2. Step 2: Convert to fraction form
    21,847.50/30,149.58 = 11,911.50/x
  3. Step 3: Cross multiply
    21,847.50x = 30,149.58 × 11,911.50
  4. Step 4: Simplify right side
    21,847.50x = 359,126,722.17
  5. Step 5: Solve for x
    x = 359,126,722.17/21,847.50
  6. Step 6: Final answer
    x = 16,437.89

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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.