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Finding the Fourth Proportional to 13,792.50, 19,035.38 and 8,203.50

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Solution

The fourth proportional to 13,792.50, 19,035.38 and 8,203.50 is: 11,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.50 : 19,035.38 = 8,203.50 : x
  2. Step 2: Convert to fraction form
    13,792.50/19,035.38 = 8,203.50/x
  3. Step 3: Cross multiply
    13,792.50x = 19,035.38 × 8,203.50
  4. Step 4: Simplify right side
    13,792.50x = 156,156,760.34
  5. Step 5: Solve for x
    x = 156,156,760.34/13,792.50
  6. Step 6: Final answer
    x = 11,321.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.