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Finding the Fourth Proportional to 4,549.32, 6,813 and 2,698.86

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Solution

The fourth proportional to 4,549.32, 6,813 and 2,698.86 is: 4,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.32 : 6,813 = 2,698.86 : x
  2. Step 2: Convert to fraction form
    4,549.32/6,813 = 2,698.86/x
  3. Step 3: Cross multiply
    4,549.32x = 6,813 × 2,698.86
  4. Step 4: Simplify right side
    4,549.32x = 18,387,333.18
  5. Step 5: Solve for x
    x = 18,387,333.18/4,549.32
  6. Step 6: Final answer
    x = 4,041.78

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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.