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Finding the Fourth Proportional to 12,242.88, 16,889.76 and 7,272

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Solution

The fourth proportional to 12,242.88, 16,889.76 and 7,272 is: 10,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.88 : 16,889.76 = 7,272 : x
  2. Step 2: Convert to fraction form
    12,242.88/16,889.76 = 7,272/x
  3. Step 3: Cross multiply
    12,242.88x = 16,889.76 × 7,272
  4. Step 4: Simplify right side
    12,242.88x = 122,822,334.72
  5. Step 5: Solve for x
    x = 122,822,334.72/12,242.88
  6. Step 6: Final answer
    x = 10,032.14

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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.