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Finding the Fourth Proportional to 6,446.47, 9,647.61 and 4,474.34

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Solution

The fourth proportional to 6,446.47, 9,647.61 and 4,474.34 is: 6,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.47 : 9,647.61 = 4,474.34 : x
  2. Step 2: Convert to fraction form
    6,446.47/9,647.61 = 4,474.34/x
  3. Step 3: Cross multiply
    6,446.47x = 9,647.61 × 4,474.34
  4. Step 4: Simplify right side
    6,446.47x = 43,166,687.33
  5. Step 5: Solve for x
    x = 43,166,687.33/6,446.47
  6. Step 6: Final answer
    x = 6,696.17

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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.