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Finding the Fourth Proportional to 21,847.70, 30,153.76 and 12,894.68

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Solution

The fourth proportional to 21,847.70, 30,153.76 and 12,894.68 is: 17,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.70 : 30,153.76 = 12,894.68 : x
  2. Step 2: Convert to fraction form
    21,847.70/30,153.76 = 12,894.68/x
  3. Step 3: Cross multiply
    21,847.70x = 30,153.76 × 12,894.68
  4. Step 4: Simplify right side
    21,847.70x = 388,823,086.00
  5. Step 5: Solve for x
    x = 388,823,086.00/21,847.70
  6. Step 6: Final answer
    x = 17,796.98

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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.