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Finding the Fourth Proportional to 12,026, 18,031.80 and 4,997.54

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Solution

The fourth proportional to 12,026, 18,031.80 and 4,997.54 is: 7,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026 : 18,031.80 = 4,997.54 : x
  2. Step 2: Convert to fraction form
    12,026/18,031.80 = 4,997.54/x
  3. Step 3: Cross multiply
    12,026x = 18,031.80 × 4,997.54
  4. Step 4: Simplify right side
    12,026x = 90,114,641.77
  5. Step 5: Solve for x
    x = 90,114,641.77/12,026
  6. Step 6: Final answer
    x = 7,493.32

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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.