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Finding the Fourth Proportional to 21,830.50, 30,126.09 and 11,894.50

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Solution

The fourth proportional to 21,830.50, 30,126.09 and 11,894.50 is: 16,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.50 : 30,126.09 = 11,894.50 : x
  2. Step 2: Convert to fraction form
    21,830.50/30,126.09 = 11,894.50/x
  3. Step 3: Cross multiply
    21,830.50x = 30,126.09 × 11,894.50
  4. Step 4: Simplify right side
    21,830.50x = 358,334,777.51
  5. Step 5: Solve for x
    x = 358,334,777.51/21,830.50
  6. Step 6: Final answer
    x = 16,414.41

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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.