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Finding the Fourth Proportional to 14,435.66, 19,908.78 and 9,398

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Solution

The fourth proportional to 14,435.66, 19,908.78 and 9,398 is: 12,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.66 : 19,908.78 = 9,398 : x
  2. Step 2: Convert to fraction form
    14,435.66/19,908.78 = 9,398/x
  3. Step 3: Cross multiply
    14,435.66x = 19,908.78 × 9,398
  4. Step 4: Simplify right side
    14,435.66x = 187,102,714.44
  5. Step 5: Solve for x
    x = 187,102,714.44/14,435.66
  6. Step 6: Final answer
    x = 12,961.15

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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.