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Finding the Fourth Proportional to 13,762.97, 18,989.65 and 8,097.97

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Solution

The fourth proportional to 13,762.97, 18,989.65 and 8,097.97 is: 11,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.97 : 18,989.65 = 8,097.97 : x
  2. Step 2: Convert to fraction form
    13,762.97/18,989.65 = 8,097.97/x
  3. Step 3: Cross multiply
    13,762.97x = 18,989.65 × 8,097.97
  4. Step 4: Simplify right side
    13,762.97x = 153,777,548.29
  5. Step 5: Solve for x
    x = 153,777,548.29/13,762.97
  6. Step 6: Final answer
    x = 11,173.28

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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.