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Finding the Fourth Proportional to 8,542, 12,813 and 2,698.78

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Solution

The fourth proportional to 8,542, 12,813 and 2,698.78 is: 4,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542 : 12,813 = 2,698.78 : x
  2. Step 2: Convert to fraction form
    8,542/12,813 = 2,698.78/x
  3. Step 3: Cross multiply
    8,542x = 12,813 × 2,698.78
  4. Step 4: Simplify right side
    8,542x = 34,579,468.14
  5. Step 5: Solve for x
    x = 34,579,468.14/8,542
  6. Step 6: Final answer
    x = 4,048.17

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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.