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Finding the Fourth Proportional to 7,646.43, 11,472.89 and 4,179.63

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Solution

The fourth proportional to 7,646.43, 11,472.89 and 4,179.63 is: 6,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.43 : 11,472.89 = 4,179.63 : x
  2. Step 2: Convert to fraction form
    7,646.43/11,472.89 = 4,179.63/x
  3. Step 3: Cross multiply
    7,646.43x = 11,472.89 × 4,179.63
  4. Step 4: Simplify right side
    7,646.43x = 47,952,435.23
  5. Step 5: Solve for x
    x = 47,952,435.23/7,646.43
  6. Step 6: Final answer
    x = 6,271.22

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1.5x scale

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.