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Finding the Fourth Proportional to 12,714.57, 19,071.65 and 3,480.57

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Solution

The fourth proportional to 12,714.57, 19,071.65 and 3,480.57 is: 5,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.57 : 19,071.65 = 3,480.57 : x
  2. Step 2: Convert to fraction form
    12,714.57/19,071.65 = 3,480.57/x
  3. Step 3: Cross multiply
    12,714.57x = 19,071.65 × 3,480.57
  4. Step 4: Simplify right side
    12,714.57x = 66,380,221.54
  5. Step 5: Solve for x
    x = 66,380,221.54/12,714.57
  6. Step 6: Final answer
    x = 5,220.80

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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.