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Finding the Fourth Proportional to 14,272.50, 19,696.50 and 7,984.92

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Solution

The fourth proportional to 14,272.50, 19,696.50 and 7,984.92 is: 11,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,272.50 : 19,696.50 = 7,984.92 : x
  2. Step 2: Convert to fraction form
    14,272.50/19,696.50 = 7,984.92/x
  3. Step 3: Cross multiply
    14,272.50x = 19,696.50 × 7,984.92
  4. Step 4: Simplify right side
    14,272.50x = 157,274,976.78
  5. Step 5: Solve for x
    x = 157,274,976.78/14,272.50
  6. Step 6: Final answer
    x = 11,019.44

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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.