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Finding the Fourth Proportional to 13,289.60, 19,930.08 and 7,046.12

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Solution

The fourth proportional to 13,289.60, 19,930.08 and 7,046.12 is: 10,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,289.60 : 19,930.08 = 7,046.12 : x
  2. Step 2: Convert to fraction form
    13,289.60/19,930.08 = 7,046.12/x
  3. Step 3: Cross multiply
    13,289.60x = 19,930.08 × 7,046.12
  4. Step 4: Simplify right side
    13,289.60x = 140,429,735.29
  5. Step 5: Solve for x
    x = 140,429,735.29/13,289.60
  6. Step 6: Final answer
    x = 10,566.89

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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.