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Finding the Fourth Proportional to 13,963.64, 20,945.28 and 5,643.52

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Solution

The fourth proportional to 13,963.64, 20,945.28 and 5,643.52 is: 8,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.64 : 20,945.28 = 5,643.52 : x
  2. Step 2: Convert to fraction form
    13,963.64/20,945.28 = 5,643.52/x
  3. Step 3: Cross multiply
    13,963.64x = 20,945.28 × 5,643.52
  4. Step 4: Simplify right side
    13,963.64x = 118,205,193.20
  5. Step 5: Solve for x
    x = 118,205,193.20/13,963.64
  6. Step 6: Final answer
    x = 8,465.21

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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.