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Finding the Fourth Proportional to 12,989, 17,924.82 and 7,400

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Solution

The fourth proportional to 12,989, 17,924.82 and 7,400 is: 10,212

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989 : 17,924.82 = 7,400 : x
  2. Step 2: Convert to fraction form
    12,989/17,924.82 = 7,400/x
  3. Step 3: Cross multiply
    12,989x = 17,924.82 × 7,400
  4. Step 4: Simplify right side
    12,989x = 132,643,668
  5. Step 5: Solve for x
    x = 132,643,668/12,989
  6. Step 6: Final answer
    x = 10,212

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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.