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Finding the Fourth Proportional to 12,714.67, 19,072.01 and 5,314.51

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Solution

The fourth proportional to 12,714.67, 19,072.01 and 5,314.51 is: 7,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.67 : 19,072.01 = 5,314.51 : x
  2. Step 2: Convert to fraction form
    12,714.67/19,072.01 = 5,314.51/x
  3. Step 3: Cross multiply
    12,714.67x = 19,072.01 × 5,314.51
  4. Step 4: Simplify right side
    12,714.67x = 101,358,387.87
  5. Step 5: Solve for x
    x = 101,358,387.87/12,714.67
  6. Step 6: Final answer
    x = 7,971.77

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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.