Home / 12,744-19,118.16-3,977.17

Finding the Fourth Proportional to 12,744, 19,118.16 and 3,977.17

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Solution

The fourth proportional to 12,744, 19,118.16 and 3,977.17 is: 5,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744 : 19,118.16 = 3,977.17 : x
  2. Step 2: Convert to fraction form
    12,744/19,118.16 = 3,977.17/x
  3. Step 3: Cross multiply
    12,744x = 19,118.16 × 3,977.17
  4. Step 4: Simplify right side
    12,744x = 76,036,124.61
  5. Step 5: Solve for x
    x = 76,036,124.61/12,744
  6. Step 6: Final answer
    x = 5,966.43

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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.