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Finding the Fourth Proportional to 7,709.60, 11,564.40 and 3,813.20

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Solution

The fourth proportional to 7,709.60, 11,564.40 and 3,813.20 is: 5,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.60 : 11,564.40 = 3,813.20 : x
  2. Step 2: Convert to fraction form
    7,709.60/11,564.40 = 3,813.20/x
  3. Step 3: Cross multiply
    7,709.60x = 11,564.40 × 3,813.20
  4. Step 4: Simplify right side
    7,709.60x = 44,097,370.08
  5. Step 5: Solve for x
    x = 44,097,370.08/7,709.60
  6. Step 6: Final answer
    x = 5,719.80

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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.