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Finding the Fourth Proportional to 5,909.47, 8,861.14 and 2,788.64

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Solution

The fourth proportional to 5,909.47, 8,861.14 and 2,788.64 is: 4,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.47 : 8,861.14 = 2,788.64 : x
  2. Step 2: Convert to fraction form
    5,909.47/8,861.14 = 2,788.64/x
  3. Step 3: Cross multiply
    5,909.47x = 8,861.14 × 2,788.64
  4. Step 4: Simplify right side
    5,909.47x = 24,710,529.45
  5. Step 5: Solve for x
    x = 24,710,529.45/5,909.47
  6. Step 6: Final answer
    x = 4,181.51

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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.