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Finding the Fourth Proportional to 13,022.60, 17,970 and 7,716.56

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Solution

The fourth proportional to 13,022.60, 17,970 and 7,716.56 is: 10,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.60 : 17,970 = 7,716.56 : x
  2. Step 2: Convert to fraction form
    13,022.60/17,970 = 7,716.56/x
  3. Step 3: Cross multiply
    13,022.60x = 17,970 × 7,716.56
  4. Step 4: Simplify right side
    13,022.60x = 138,666,583.20
  5. Step 5: Solve for x
    x = 138,666,583.20/13,022.60
  6. Step 6: Final answer
    x = 10,648.15

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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.