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Finding the Fourth Proportional to 14,388.78, 19,845.24 and 9,354.63

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Solution

The fourth proportional to 14,388.78, 19,845.24 and 9,354.63 is: 12,902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,388.78 : 19,845.24 = 9,354.63 : x
  2. Step 2: Convert to fraction form
    14,388.78/19,845.24 = 9,354.63/x
  3. Step 3: Cross multiply
    14,388.78x = 19,845.24 × 9,354.63
  4. Step 4: Simplify right side
    14,388.78x = 185,644,877.46
  5. Step 5: Solve for x
    x = 185,644,877.46/14,388.78
  6. Step 6: Final answer
    x = 12,902.06

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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.