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Finding the Fourth Proportional to 13,871.18, 19,144 and 7,905

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Solution

The fourth proportional to 13,871.18, 19,144 and 7,905 is: 10,909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.18 : 19,144 = 7,905 : x
  2. Step 2: Convert to fraction form
    13,871.18/19,144 = 7,905/x
  3. Step 3: Cross multiply
    13,871.18x = 19,144 × 7,905
  4. Step 4: Simplify right side
    13,871.18x = 151,333,320
  5. Step 5: Solve for x
    x = 151,333,320/13,871.18
  6. Step 6: Final answer
    x = 10,909.91

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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.