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Finding the Fourth Proportional to 13,871.42, 19,142.64 and 7,583.80

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Solution

The fourth proportional to 13,871.42, 19,142.64 and 7,583.80 is: 10,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.42 : 19,142.64 = 7,583.80 : x
  2. Step 2: Convert to fraction form
    13,871.42/19,142.64 = 7,583.80/x
  3. Step 3: Cross multiply
    13,871.42x = 19,142.64 × 7,583.80
  4. Step 4: Simplify right side
    13,871.42x = 145,173,857.52
  5. Step 5: Solve for x
    x = 145,173,857.52/13,871.42
  6. Step 6: Final answer
    x = 10,465.68

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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.