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Finding the Fourth Proportional to 12,714.81, 19,072.22 and 3,480.81

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Solution

The fourth proportional to 12,714.81, 19,072.22 and 3,480.81 is: 5,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.81 : 19,072.22 = 3,480.81 : x
  2. Step 2: Convert to fraction form
    12,714.81/19,072.22 = 3,480.81/x
  3. Step 3: Cross multiply
    12,714.81x = 19,072.22 × 3,480.81
  4. Step 4: Simplify right side
    12,714.81x = 66,386,774.10
  5. Step 5: Solve for x
    x = 66,386,774.10/12,714.81
  6. Step 6: Final answer
    x = 5,221.22

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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.