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Finding the Fourth Proportional to 12,965.63, 19,446.03 and 3,603.29

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Solution

The fourth proportional to 12,965.63, 19,446.03 and 3,603.29 is: 5,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.63 : 19,446.03 = 3,603.29 : x
  2. Step 2: Convert to fraction form
    12,965.63/19,446.03 = 3,603.29/x
  3. Step 3: Cross multiply
    12,965.63x = 19,446.03 × 3,603.29
  4. Step 4: Simplify right side
    12,965.63x = 70,069,588.21
  5. Step 5: Solve for x
    x = 70,069,588.21/12,965.63
  6. Step 6: Final answer
    x = 5,404.26

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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.