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Finding the Fourth Proportional to 6,542.80, 9,814 and 1,612.48

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Solution

The fourth proportional to 6,542.80, 9,814 and 1,612.48 is: 2,418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.80 : 9,814 = 1,612.48 : x
  2. Step 2: Convert to fraction form
    6,542.80/9,814 = 1,612.48/x
  3. Step 3: Cross multiply
    6,542.80x = 9,814 × 1,612.48
  4. Step 4: Simplify right side
    6,542.80x = 15,824,878.72
  5. Step 5: Solve for x
    x = 15,824,878.72/6,542.80
  6. Step 6: Final answer
    x = 2,418.67

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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.