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Finding the Fourth Proportional to 8,574.99, 12,884.01 and 5,456.35

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Solution

The fourth proportional to 8,574.99, 12,884.01 and 5,456.35 is: 8,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.99 : 12,884.01 = 5,456.35 : x
  2. Step 2: Convert to fraction form
    8,574.99/12,884.01 = 5,456.35/x
  3. Step 3: Cross multiply
    8,574.99x = 12,884.01 × 5,456.35
  4. Step 4: Simplify right side
    8,574.99x = 70,299,667.96
  5. Step 5: Solve for x
    x = 70,299,667.96/8,574.99
  6. Step 6: Final answer
    x = 8,198.23

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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.