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Finding the Fourth Proportional to 13,871.76, 19,143.05 and 7,584.14

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Solution

The fourth proportional to 13,871.76, 19,143.05 and 7,584.14 is: 10,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.76 : 19,143.05 = 7,584.14 : x
  2. Step 2: Convert to fraction form
    13,871.76/19,143.05 = 7,584.14/x
  3. Step 3: Cross multiply
    13,871.76x = 19,143.05 × 7,584.14
  4. Step 4: Simplify right side
    13,871.76x = 145,183,437.59
  5. Step 5: Solve for x
    x = 145,183,437.59/13,871.76
  6. Step 6: Final answer
    x = 10,466.12

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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.