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Finding the Fourth Proportional to 8,464.46, 11,682 and 5,109.20

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Solution

The fourth proportional to 8,464.46, 11,682 and 5,109.20 is: 7,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.46 : 11,682 = 5,109.20 : x
  2. Step 2: Convert to fraction form
    8,464.46/11,682 = 5,109.20/x
  3. Step 3: Cross multiply
    8,464.46x = 11,682 × 5,109.20
  4. Step 4: Simplify right side
    8,464.46x = 59,685,674.40
  5. Step 5: Solve for x
    x = 59,685,674.40/8,464.46
  6. Step 6: Final answer
    x = 7,051.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.