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Finding the Fourth Proportional to 13,762.75, 20,647.02 and 7,187.17

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Solution

The fourth proportional to 13,762.75, 20,647.02 and 7,187.17 is: 10,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.75 : 20,647.02 = 7,187.17 : x
  2. Step 2: Convert to fraction form
    13,762.75/20,647.02 = 7,187.17/x
  3. Step 3: Cross multiply
    13,762.75x = 20,647.02 × 7,187.17
  4. Step 4: Simplify right side
    13,762.75x = 148,393,642.73
  5. Step 5: Solve for x
    x = 148,393,642.73/13,762.75
  6. Step 6: Final answer
    x = 10,782.27

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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.