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Finding the Fourth Proportional to 6,446.40, 9,672.30 and 4,817.09

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Solution

The fourth proportional to 6,446.40, 9,672.30 and 4,817.09 is: 7,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.40 : 9,672.30 = 4,817.09 : x
  2. Step 2: Convert to fraction form
    6,446.40/9,672.30 = 4,817.09/x
  3. Step 3: Cross multiply
    6,446.40x = 9,672.30 × 4,817.09
  4. Step 4: Simplify right side
    6,446.40x = 46,592,339.61
  5. Step 5: Solve for x
    x = 46,592,339.61/6,446.40
  6. Step 6: Final answer
    x = 7,227.65

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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.