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Finding the Fourth Proportional to 13,981.22, 19,294.88 and 8,013.88

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Solution

The fourth proportional to 13,981.22, 19,294.88 and 8,013.88 is: 11,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.22 : 19,294.88 = 8,013.88 : x
  2. Step 2: Convert to fraction form
    13,981.22/19,294.88 = 8,013.88/x
  3. Step 3: Cross multiply
    13,981.22x = 19,294.88 × 8,013.88
  4. Step 4: Simplify right side
    13,981.22x = 154,626,812.87
  5. Step 5: Solve for x
    x = 154,626,812.87/13,981.22
  6. Step 6: Final answer
    x = 11,059.61

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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.