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Finding the Fourth Proportional to 13,976.16, 20,966.40 and 4,740

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Solution

The fourth proportional to 13,976.16, 20,966.40 and 4,740 is: 7,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.16 : 20,966.40 = 4,740 : x
  2. Step 2: Convert to fraction form
    13,976.16/20,966.40 = 4,740/x
  3. Step 3: Cross multiply
    13,976.16x = 20,966.40 × 4,740
  4. Step 4: Simplify right side
    13,976.16x = 99,380,736
  5. Step 5: Solve for x
    x = 99,380,736/13,976.16
  6. Step 6: Final answer
    x = 7,110.73

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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.