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Finding the Fourth Proportional to 6,446.70, 9,670.05 and 3,166.20

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Solution

The fourth proportional to 6,446.70, 9,670.05 and 3,166.20 is: 4,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.70 : 9,670.05 = 3,166.20 : x
  2. Step 2: Convert to fraction form
    6,446.70/9,670.05 = 3,166.20/x
  3. Step 3: Cross multiply
    6,446.70x = 9,670.05 × 3,166.20
  4. Step 4: Simplify right side
    6,446.70x = 30,617,312.31
  5. Step 5: Solve for x
    x = 30,617,312.31/6,446.70
  6. Step 6: Final answer
    x = 4,749.30

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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.