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Finding the Fourth Proportional to 12,537.76, 18,807 and 3,771.76

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Solution

The fourth proportional to 12,537.76, 18,807 and 3,771.76 is: 5,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.76 : 18,807 = 3,771.76 : x
  2. Step 2: Convert to fraction form
    12,537.76/18,807 = 3,771.76/x
  3. Step 3: Cross multiply
    12,537.76x = 18,807 × 3,771.76
  4. Step 4: Simplify right side
    12,537.76x = 70,935,490.32
  5. Step 5: Solve for x
    x = 70,935,490.32/12,537.76
  6. Step 6: Final answer
    x = 5,657.75

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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.