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Finding the Fourth Proportional to 12,811.70, 17,680.13 and 7,222.70

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Solution

The fourth proportional to 12,811.70, 17,680.13 and 7,222.70 is: 9,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.70 : 17,680.13 = 7,222.70 : x
  2. Step 2: Convert to fraction form
    12,811.70/17,680.13 = 7,222.70/x
  3. Step 3: Cross multiply
    12,811.70x = 17,680.13 × 7,222.70
  4. Step 4: Simplify right side
    12,811.70x = 127,698,150.44
  5. Step 5: Solve for x
    x = 127,698,150.44/12,811.70
  6. Step 6: Final answer
    x = 9,967.31

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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.