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Finding the Fourth Proportional to 43,817.28, 65,712 and 14,228.28

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Solution

The fourth proportional to 43,817.28, 65,712 and 14,228.28 is: 21,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,817.28 : 65,712 = 14,228.28 : x
  2. Step 2: Convert to fraction form
    43,817.28/65,712 = 14,228.28/x
  3. Step 3: Cross multiply
    43,817.28x = 65,712 × 14,228.28
  4. Step 4: Simplify right side
    43,817.28x = 934,968,735.36
  5. Step 5: Solve for x
    x = 934,968,735.36/43,817.28
  6. Step 6: Final answer
    x = 21,337.90

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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.