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Finding the Fourth Proportional to 12,143, 18,202.34 and 4,737.27

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Solution

The fourth proportional to 12,143, 18,202.34 and 4,737.27 is: 7,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143 : 18,202.34 = 4,737.27 : x
  2. Step 2: Convert to fraction form
    12,143/18,202.34 = 4,737.27/x
  3. Step 3: Cross multiply
    12,143x = 18,202.34 × 4,737.27
  4. Step 4: Simplify right side
    12,143x = 86,229,399.21
  5. Step 5: Solve for x
    x = 86,229,399.21/12,143
  6. Step 6: Final answer
    x = 7,101.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.