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Finding the Fourth Proportional to 13,291.60, 19,912.80 and 7,747.60

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Solution

The fourth proportional to 13,291.60, 19,912.80 and 7,747.60 is: 11,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.60 : 19,912.80 = 7,747.60 : x
  2. Step 2: Convert to fraction form
    13,291.60/19,912.80 = 7,747.60/x
  3. Step 3: Cross multiply
    13,291.60x = 19,912.80 × 7,747.60
  4. Step 4: Simplify right side
    13,291.60x = 154,276,409.28
  5. Step 5: Solve for x
    x = 154,276,409.28/13,291.60
  6. Step 6: Final answer
    x = 11,607.06

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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.