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Finding the Fourth Proportional to 9,412.80, 12,991.84 and 6,269.12

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Solution

The fourth proportional to 9,412.80, 12,991.84 and 6,269.12 is: 8,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.80 : 12,991.84 = 6,269.12 : x
  2. Step 2: Convert to fraction form
    9,412.80/12,991.84 = 6,269.12/x
  3. Step 3: Cross multiply
    9,412.80x = 12,991.84 × 6,269.12
  4. Step 4: Simplify right side
    9,412.80x = 81,447,403.98
  5. Step 5: Solve for x
    x = 81,447,403.98/9,412.80
  6. Step 6: Final answer
    x = 8,652.83

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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.