Home / 12,714.49-19,077-6,864.22

Finding the Fourth Proportional to 12,714.49, 19,077 and 6,864.22

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Solution

The fourth proportional to 12,714.49, 19,077 and 6,864.22 is: 10,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.49 : 19,077 = 6,864.22 : x
  2. Step 2: Convert to fraction form
    12,714.49/19,077 = 6,864.22/x
  3. Step 3: Cross multiply
    12,714.49x = 19,077 × 6,864.22
  4. Step 4: Simplify right side
    12,714.49x = 130,948,724.94
  5. Step 5: Solve for x
    x = 130,948,724.94/12,714.49
  6. Step 6: Final answer
    x = 10,299.17

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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.