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Finding the Fourth Proportional to 13,978.23, 20,946.75 and 10,451.70

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Solution

The fourth proportional to 13,978.23, 20,946.75 and 10,451.70 is: 15,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.23 : 20,946.75 = 10,451.70 : x
  2. Step 2: Convert to fraction form
    13,978.23/20,946.75 = 10,451.70/x
  3. Step 3: Cross multiply
    13,978.23x = 20,946.75 × 10,451.70
  4. Step 4: Simplify right side
    13,978.23x = 218,929,146.98
  5. Step 5: Solve for x
    x = 218,929,146.98/13,978.23
  6. Step 6: Final answer
    x = 15,662.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.