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Finding the Fourth Proportional to 20,750.47, 31,127.64 and 8,267.47

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Solution

The fourth proportional to 20,750.47, 31,127.64 and 8,267.47 is: 12,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,750.47 : 31,127.64 = 8,267.47 : x
  2. Step 2: Convert to fraction form
    20,750.47/31,127.64 = 8,267.47/x
  3. Step 3: Cross multiply
    20,750.47x = 31,127.64 × 8,267.47
  4. Step 4: Simplify right side
    20,750.47x = 257,346,829.87
  5. Step 5: Solve for x
    x = 257,346,829.87/20,750.47
  6. Step 6: Final answer
    x = 12,401.98

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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.