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Finding the Fourth Proportional to 13,102.60, 19,662 and 5,311.48

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Solution

The fourth proportional to 13,102.60, 19,662 and 5,311.48 is: 7,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.60 : 19,662 = 5,311.48 : x
  2. Step 2: Convert to fraction form
    13,102.60/19,662 = 5,311.48/x
  3. Step 3: Cross multiply
    13,102.60x = 19,662 × 5,311.48
  4. Step 4: Simplify right side
    13,102.60x = 104,434,319.76
  5. Step 5: Solve for x
    x = 104,434,319.76/13,102.60
  6. Step 6: Final answer
    x = 7,970.50

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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.