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Finding the Fourth Proportional to 5,575.80, 8,354.10 and 2,647.80

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Solution

The fourth proportional to 5,575.80, 8,354.10 and 2,647.80 is: 3,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.80 : 8,354.10 = 2,647.80 : x
  2. Step 2: Convert to fraction form
    5,575.80/8,354.10 = 2,647.80/x
  3. Step 3: Cross multiply
    5,575.80x = 8,354.10 × 2,647.80
  4. Step 4: Simplify right side
    5,575.80x = 22,119,985.98
  5. Step 5: Solve for x
    x = 22,119,985.98/5,575.80
  6. Step 6: Final answer
    x = 3,967.14

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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.