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Finding the Fourth Proportional to 8,993.58, 12,412.06 and 5,409.70

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Solution

The fourth proportional to 8,993.58, 12,412.06 and 5,409.70 is: 7,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.58 : 12,412.06 = 5,409.70 : x
  2. Step 2: Convert to fraction form
    8,993.58/12,412.06 = 5,409.70/x
  3. Step 3: Cross multiply
    8,993.58x = 12,412.06 × 5,409.70
  4. Step 4: Simplify right side
    8,993.58x = 67,145,520.98
  5. Step 5: Solve for x
    x = 67,145,520.98/8,993.58
  6. Step 6: Final answer
    x = 7,465.94

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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.