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Finding the Fourth Proportional to 18,744, 28,108.26 and 7,643.16

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Solution

The fourth proportional to 18,744, 28,108.26 and 7,643.16 is: 11,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,744 : 28,108.26 = 7,643.16 : x
  2. Step 2: Convert to fraction form
    18,744/28,108.26 = 7,643.16/x
  3. Step 3: Cross multiply
    18,744x = 28,108.26 × 7,643.16
  4. Step 4: Simplify right side
    18,744x = 214,835,928.50
  5. Step 5: Solve for x
    x = 214,835,928.50/18,744
  6. Step 6: Final answer
    x = 11,461.58

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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.