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Finding the Fourth Proportional to 14,120, 19,486.08 and 9,160.64

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Solution

The fourth proportional to 14,120, 19,486.08 and 9,160.64 is: 12,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120 : 19,486.08 = 9,160.64 : x
  2. Step 2: Convert to fraction form
    14,120/19,486.08 = 9,160.64/x
  3. Step 3: Cross multiply
    14,120x = 19,486.08 × 9,160.64
  4. Step 4: Simplify right side
    14,120x = 178,504,963.89
  5. Step 5: Solve for x
    x = 178,504,963.89/14,120
  6. Step 6: Final answer
    x = 12,641.99

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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.