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Finding the Fourth Proportional to 14,272, 19,695.36 and 7,984.38

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Solution

The fourth proportional to 14,272, 19,695.36 and 7,984.38 is: 11,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,272 : 19,695.36 = 7,984.38 : x
  2. Step 2: Convert to fraction form
    14,272/19,695.36 = 7,984.38/x
  3. Step 3: Cross multiply
    14,272x = 19,695.36 × 7,984.38
  4. Step 4: Simplify right side
    14,272x = 157,255,238.48
  5. Step 5: Solve for x
    x = 157,255,238.48/14,272
  6. Step 6: Final answer
    x = 11,018.44

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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.