Home / 8,342.16-12,514.36-2,498

Finding the Fourth Proportional to 8,342.16, 12,514.36 and 2,498

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Solution

The fourth proportional to 8,342.16, 12,514.36 and 2,498 is: 3,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.16 : 12,514.36 = 2,498 : x
  2. Step 2: Convert to fraction form
    8,342.16/12,514.36 = 2,498/x
  3. Step 3: Cross multiply
    8,342.16x = 12,514.36 × 2,498
  4. Step 4: Simplify right side
    8,342.16x = 31,260,871.28
  5. Step 5: Solve for x
    x = 31,260,871.28/8,342.16
  6. Step 6: Final answer
    x = 3,747.34

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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.