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Finding the Fourth Proportional to 12,665.52, 19,002 and 3,901.74

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Solution

The fourth proportional to 12,665.52, 19,002 and 3,901.74 is: 5,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.52 : 19,002 = 3,901.74 : x
  2. Step 2: Convert to fraction form
    12,665.52/19,002 = 3,901.74/x
  3. Step 3: Cross multiply
    12,665.52x = 19,002 × 3,901.74
  4. Step 4: Simplify right side
    12,665.52x = 74,140,863.48
  5. Step 5: Solve for x
    x = 74,140,863.48/12,665.52
  6. Step 6: Final answer
    x = 5,853.76

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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.