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Finding the Fourth Proportional to 12,757.62, 19,128.12 and 4,437

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Solution

The fourth proportional to 12,757.62, 19,128.12 and 4,437 is: 6,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.62 : 19,128.12 = 4,437 : x
  2. Step 2: Convert to fraction form
    12,757.62/19,128.12 = 4,437/x
  3. Step 3: Cross multiply
    12,757.62x = 19,128.12 × 4,437
  4. Step 4: Simplify right side
    12,757.62x = 84,871,468.44
  5. Step 5: Solve for x
    x = 84,871,468.44/12,757.62
  6. Step 6: Final answer
    x = 6,652.61

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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.