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Finding the Fourth Proportional to 13,031.90, 17,980.89 and 7,728.02

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Solution

The fourth proportional to 13,031.90, 17,980.89 and 7,728.02 is: 10,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.90 : 17,980.89 = 7,728.02 : x
  2. Step 2: Convert to fraction form
    13,031.90/17,980.89 = 7,728.02/x
  3. Step 3: Cross multiply
    13,031.90x = 17,980.89 × 7,728.02
  4. Step 4: Simplify right side
    13,031.90x = 138,956,677.54
  5. Step 5: Solve for x
    x = 138,956,677.54/13,031.90
  6. Step 6: Final answer
    x = 10,662.81

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