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Finding the Fourth Proportional to 12,789, 17,649.18 and 7,200

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Solution

The fourth proportional to 12,789, 17,649.18 and 7,200 is: 9,936.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789 : 17,649.18 = 7,200 : x
  2. Step 2: Convert to fraction form
    12,789/17,649.18 = 7,200/x
  3. Step 3: Cross multiply
    12,789x = 17,649.18 × 7,200
  4. Step 4: Simplify right side
    12,789x = 127,074,096
  5. Step 5: Solve for x
    x = 127,074,096/12,789
  6. Step 6: Final answer
    x = 9,936.20

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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.