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Finding the Fourth Proportional to 11,330.40, 16,989 and 4,396.80

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Solution

The fourth proportional to 11,330.40, 16,989 and 4,396.80 is: 6,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330.40 : 16,989 = 4,396.80 : x
  2. Step 2: Convert to fraction form
    11,330.40/16,989 = 4,396.80/x
  3. Step 3: Cross multiply
    11,330.40x = 16,989 × 4,396.80
  4. Step 4: Simplify right side
    11,330.40x = 74,697,235.20
  5. Step 5: Solve for x
    x = 74,697,235.20/11,330.40
  6. Step 6: Final answer
    x = 6,592.64

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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.