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Finding the Fourth Proportional to 9,406.90, 14,109.90 and 3,166.30

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Solution

The fourth proportional to 9,406.90, 14,109.90 and 3,166.30 is: 4,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.90 : 14,109.90 = 3,166.30 : x
  2. Step 2: Convert to fraction form
    9,406.90/14,109.90 = 3,166.30/x
  3. Step 3: Cross multiply
    9,406.90x = 14,109.90 × 3,166.30
  4. Step 4: Simplify right side
    9,406.90x = 44,676,176.37
  5. Step 5: Solve for x
    x = 44,676,176.37/9,406.90
  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.