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Finding the Fourth Proportional to 13,003.68, 17,954.73 and 7,974.84

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Solution

The fourth proportional to 13,003.68, 17,954.73 and 7,974.84 is: 11,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.68 : 17,954.73 = 7,974.84 : x
  2. Step 2: Convert to fraction form
    13,003.68/17,954.73 = 7,974.84/x
  3. Step 3: Cross multiply
    13,003.68x = 17,954.73 × 7,974.84
  4. Step 4: Simplify right side
    13,003.68x = 143,186,098.99
  5. Step 5: Solve for x
    x = 143,186,098.99/13,003.68
  6. Step 6: Final answer
    x = 11,011.20

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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.