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Finding the Fourth Proportional to 7,643.02, 11,472.26 and 3,947.90

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Solution

The fourth proportional to 7,643.02, 11,472.26 and 3,947.90 is: 5,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.02 : 11,472.26 = 3,947.90 : x
  2. Step 2: Convert to fraction form
    7,643.02/11,472.26 = 3,947.90/x
  3. Step 3: Cross multiply
    7,643.02x = 11,472.26 × 3,947.90
  4. Step 4: Simplify right side
    7,643.02x = 45,291,335.25
  5. Step 5: Solve for x
    x = 45,291,335.25/7,643.02
  6. Step 6: Final answer
    x = 5,925.84

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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.