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Finding the Fourth Proportional to 13,871.80, 19,143.16 and 7,584.17

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Solution

The fourth proportional to 13,871.80, 19,143.16 and 7,584.17 is: 10,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.80 : 19,143.16 = 7,584.17 : x
  2. Step 2: Convert to fraction form
    13,871.80/19,143.16 = 7,584.17/x
  3. Step 3: Cross multiply
    13,871.80x = 19,143.16 × 7,584.17
  4. Step 4: Simplify right side
    13,871.80x = 145,184,960.82
  5. Step 5: Solve for x
    x = 145,184,960.82/13,871.80
  6. Step 6: Final answer
    x = 10,466.20

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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.