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Finding the Fourth Proportional to 13,874, 19,144.64 and 7,904.40

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Solution

The fourth proportional to 13,874, 19,144.64 and 7,904.40 is: 10,907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874 : 19,144.64 = 7,904.40 : x
  2. Step 2: Convert to fraction form
    13,874/19,144.64 = 7,904.40/x
  3. Step 3: Cross multiply
    13,874x = 19,144.64 × 7,904.40
  4. Step 4: Simplify right side
    13,874x = 151,326,892.42
  5. Step 5: Solve for x
    x = 151,326,892.42/13,874
  6. Step 6: Final answer
    x = 10,907.23

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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.