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Finding the Fourth Proportional to 13,772.94, 19,000.44 and 8,465.82

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Solution

The fourth proportional to 13,772.94, 19,000.44 and 8,465.82 is: 11,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.94 : 19,000.44 = 8,465.82 : x
  2. Step 2: Convert to fraction form
    13,772.94/19,000.44 = 8,465.82/x
  3. Step 3: Cross multiply
    13,772.94x = 19,000.44 × 8,465.82
  4. Step 4: Simplify right side
    13,772.94x = 160,854,304.96
  5. Step 5: Solve for x
    x = 160,854,304.96/13,772.94
  6. Step 6: Final answer
    x = 11,679.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.