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Finding the Fourth Proportional to 4,771.82, 7,157.91 and 1,809.95

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Solution

The fourth proportional to 4,771.82, 7,157.91 and 1,809.95 is: 2,714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.82 : 7,157.91 = 1,809.95 : x
  2. Step 2: Convert to fraction form
    4,771.82/7,157.91 = 1,809.95/x
  3. Step 3: Cross multiply
    4,771.82x = 7,157.91 × 1,809.95
  4. Step 4: Simplify right side
    4,771.82x = 12,955,423.41
  5. Step 5: Solve for x
    x = 12,955,423.41/4,771.82
  6. Step 6: Final answer
    x = 2,714.99

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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.